206:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos 2:@0.293660:0.136887:0.376658:0.136887:0.376658:0.120217:0.293660:0.120217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.293660:0.160676:0.305146:0.160676:0.305146:0.144242:0.293660:0.144242:0.000000:0.000000
Para sembrar arroz, Eugenio tiene una parcela triangular cuyos lados miden:@0.323861:0.160676:0.925884:0.160676:0.925884:0.144242:0.323861:0.144242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90   y 120   y entre ellos forman un ángulo de 70°. ¿Cuál es el área del terreno que:@0.323781:0.177317:0.926523:0.177317:0.926523:0.160884:0.323781:0.160884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.345318:0.177317:0.359933:0.177317:0.359933:0.160911:0.345318:0.160911:0.000000
m:@0.405767:0.177317:0.420382:0.177317:0.420382:0.160911:0.405767:0.160911:0.000000
se puede sembrar?:@0.323781:0.193959:0.461523:0.193959:0.461523:0.177526:0.323781:0.177526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.323781:0.222389:0.389915:0.222389:0.389915:0.205720:0.323781:0.205720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar:@0.323781:0.246173:0.404456:0.246173:0.404456:0.229226:0.323781:0.229226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las incógnitas del problema.:@0.404350:0.246173:0.611380:0.246173:0.611380:0.229739:0.404350:0.229739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para encontrar el área de un triángulo, necesitamos conocer su base y su altura. En:@0.323781:0.273535:0.925724:0.273535:0.925724:0.257101:0.323781:0.257101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este caso, no tenemos el valor de la altura, pero por definición sabemos que la altura:@0.323781:0.290177:0.926297:0.290177:0.926297:0.273743:0.323781:0.273743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es perpendicular a la base y forma un triángulo rectángulo :@0.323781:0.306819:0.744630:0.306819:0.744630:0.290385:0.323781:0.290385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
HBC,:@0.743816:0.306819:0.776655:0.306819:0.776655:0.290413:0.743816:0.290413:0.000000:0.000000:0.000000:0.000000
 como se muestra en:@0.776544:0.306819:0.926306:0.306819:0.926306:0.290385:0.776544:0.290385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la figura.:@0.323781:0.323461:0.384856:0.323461:0.384856:0.307027:0.323781:0.307027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.323781:0.350822:0.386546:0.350822:0.386546:0.333876:0.323781:0.333876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.386458:0.350822:0.389661:0.350822:0.389661:0.334389:0.386458:0.334389:0.000000
 aplicamos la razón trigonométrica seno (70°) para encontrar el valor de  .:@0.389587:0.350822:0.922495:0.350822:0.922495:0.334389:0.389587:0.334389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.909868:0.350822:0.919366:0.350822:0.919366:0.334416:0.909868:0.334416:0.000000
La altura del triángulo es 84,57  .:@0.323781:0.428255:0.565726:0.428255:0.565726:0.411821:0.323781:0.411821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.547981:0.428255:0.562597:0.428255:0.562597:0.411849:0.547981:0.411849:0.000000
Segundo::@0.323763:0.455617:0.399378:0.455617:0.399378:0.438670:0.323763:0.438670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 hallamos el área de la parcela.:@0.399288:0.455617:0.618542:0.455617:0.618542:0.439183:0.399288:0.439183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.605196:0.493067:0.619812:0.493067:0.619812:0.476661:0.605196:0.476661:0.000000
2:@0.619745:0.487003:0.624981:0.487003:0.624981:0.477422:0.619745:0.477422:0.000000
El área del terreno es 5074,2  2.:@0.323543:0.533038:0.552180:0.533038:0.552180:0.516604:0.323543:0.516604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.529245:0.533038:0.543860:0.533038:0.543860:0.516632:0.529245:0.516632:0.000000
b. Tres barcos se encuentran en una posición:@0.293660:0.560401:0.646787:0.560401:0.646787:0.543967:0.293660:0.543967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tal que entre ellos forman un triángulo:@0.323788:0.577043:0.646498:0.577043:0.646498:0.560609:0.323788:0.560609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo, como se muestra en la figura. El :@0.323788:0.593685:0.650846:0.593685:0.650846:0.577251:0.323788:0.577251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barco   se encuentra a 8 :@0.323788:0.610327:0.520377:0.610327:0.520377:0.593893:0.323788:0.593893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.372328:0.610327:0.382212:0.610327:0.382212:0.593921:0.372328:0.593921:0.000000
km:@0.521960:0.610327:0.544463:0.610327:0.544463:0.593921:0.521960:0.593921:0.000000:0.000000
 de una boya :@0.544638:0.610327:0.650861:0.610327:0.650861:0.593893:0.544638:0.593893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marina, y el barco   a dicha boya tiene una:@0.323806:0.626968:0.646813:0.626968:0.646813:0.610535:0.323806:0.610535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.461180:0.626968:0.471083:0.626968:0.471083:0.610562:0.461180:0.610562:0.000000
distancia de 12 :@0.323806:0.643610:0.436900:0.643610:0.436900:0.627177:0.323806:0.627177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.436790:0.643610:0.459044:0.643610:0.459044:0.627204:0.436790:0.627204:0.000000:0.000000
. El ángulo entre estas dos :@0.458989:0.643610:0.650960:0.643610:0.650960:0.627177:0.458989:0.627177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias es 120°. ¿Cuál es la distancia del:@0.323806:0.660252:0.646710:0.660252:0.646710:0.643818:0.323806:0.643818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
barco   al barco  ?:@0.323806:0.676894:0.456688:0.676894:0.456688:0.660460:0.323806:0.660460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.368002:0.676894:0.376837:0.676894:0.376837:0.660488:0.368002:0.660488:0.000000
C:@0.440030:0.676894:0.449933:0.676894:0.449933:0.660488:0.440030:0.660488:0.000000
Solución:@0.323788:0.705324:0.389921:0.705324:0.389921:0.688654:0.323788:0.688654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.323788:0.729108:0.387120:0.729108:0.387120:0.712161:0.323788:0.712161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.387164:0.729108:0.390367:0.729108:0.390367:0.712674:0.387164:0.712674:0.000000
 tenemos dos triángulos rectángulos, pero trabajaremos con el triángulo:@0.390385:0.729108:0.925797:0.729108:0.925797:0.712674:0.390385:0.712674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BCD:@0.323769:0.745750:0.354031:0.745750:0.354031:0.729344:0.323769:0.729344:0.000000:0.000000:0.000000
. Para hallar la distancia entre las embarcaciones debemos conocer un ángulo:@0.354049:0.745750:0.926248:0.745750:0.926248:0.729316:0.354049:0.729316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudo. Entonces tenemos que::@0.323769:0.762391:0.549273:0.762391:0.549273:0.745958:0.323769:0.745958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Por ser ángulos suplementarios, :@0.449876:0.789766:0.691175:0.789766:0.691175:0.773332:0.449876:0.773332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.761549:0.789766:0.764752:0.789766:0.764752:0.773332:0.761549:0.773332:0.000000
Segundo:@0.323781:0.817129:0.395126:0.817129:0.395126:0.800182:0.323781:0.800182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.395036:0.817129:0.398238:0.817129:0.398238:0.800695:0.395036:0.800695:0.000000
 encontremos el valor de   aplicando la razón trigonométrica :@0.398165:0.817129:0.844723:0.817129:0.844723:0.800695:0.398165:0.800695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.582127:0.817129:0.591386:0.817129:0.591386:0.800723:0.582127:0.800723:0.000000
Sen:@0.323781:0.833771:0.349209:0.833771:0.349209:0.817365:0.323781:0.817365:0.000000:0.000000:0.000000
 (60°).:@0.349146:0.833771:0.389072:0.833771:0.389072:0.817337:0.349146:0.817337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La distancia entre los barcos es 10,39 :@0.323781:0.911190:0.593580:0.911190:0.593580:0.894757:0.323781:0.894757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.593248:0.911190:0.615503:0.911190:0.615503:0.894784:0.593248:0.894784:0.000000:0.000000
.:@0.615447:0.911190:0.618650:0.911190:0.618650:0.894757:0.615447:0.894757:0.000000
a:@0.834300:0.606064:0.838886:0.606064:0.838886:0.598100:0.834300:0.598100:0.000000
A:@0.753545:0.639632:0.758535:0.639632:0.758535:0.631669:0.753545:0.631669:0.000000
D:@0.806623:0.639493:0.812307:0.639493:0.812307:0.631529:0.806623:0.631529:0.000000
B:@0.830952:0.639116:0.835512:0.639116:0.835512:0.631152:0.830952:0.631152:0.000000
C:@0.833061:0.587707:0.837937:0.587707:0.837937:0.579744:0.833061:0.579744:0.000000
12 :@0.797248:0.611882:0.807651:0.611882:0.807651:0.603925:0.797248:0.603925:0.000000:0.000000:0.000000
km:@0.807414:0.611882:0.818344:0.611882:0.818344:0.603919:0.807414:0.603919:0.000000:0.000000
8 :@0.773955:0.640195:0.780325:0.640195:0.780325:0.632238:0.773955:0.632238:0.000000:0.000000
km:@0.780325:0.640195:0.791493:0.640195:0.791493:0.632231:0.780325:0.632231:0.000000:0.000000
120º:@0.790579:0.631947:0.807220:0.631947:0.807220:0.623990:0.790579:0.623990:0.000000:0.000000:0.000000:0.000000
Terreno en forma triangular.:@0.072543:0.226386:0.236993:0.226386:0.236993:0.212940:0.072543:0.212940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70º:@0.235836:0.185897:0.246099:0.185897:0.246099:0.179565:0.235836:0.179565:0.000000:0.000000:0.000000
90 :@0.219218:0.159860:0.234551:0.159860:0.234551:0.149307:0.219218:0.149307:0.000000:0.000000:0.000000
m:@0.234551:0.159860:0.244559:0.159860:0.244559:0.149381:0.234551:0.149381:0.000000
120 :@0.155530:0.205977:0.177218:0.205977:0.177218:0.195423:0.155530:0.195423:0.000000:0.000000:0.000000:0.000000
m:@0.177218:0.205977:0.187226:0.205977:0.187226:0.195498:0.177218:0.195498:0.000000
C:@0.252040:0.198960:0.258914:0.198960:0.258914:0.188481:0.252040:0.188481:0.000000
H:@0.175186:0.198027:0.182952:0.198027:0.182952:0.187547:0.175186:0.187547:0.000000
A:@0.076162:0.198960:0.083197:0.198960:0.083197:0.188481:0.076162:0.188481:0.000000
B:@0.176859:0.133210:0.183288:0.133210:0.183288:0.122730:0.176859:0.122730:0.000000
h:@0.182422:0.163699:0.189036:0.163699:0.189036:0.153220:0.182422:0.153220:0.000000
70°:@0.228530:0.187834:0.245177:0.187834:0.245177:0.177280:0.228530:0.177280:0.000000:0.000000:0.000000
Competencia :@0.078581:0.274450:0.187141:0.274450:0.187141:0.257503:0.078581:0.257503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.291092:0.176057:0.291092:0.176057:0.274145:0.078581:0.274145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar el ángulo de :@0.082576:0.310690:0.239464:0.310690:0.239464:0.295751:0.082576:0.295751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo rectángulo, :@0.082576:0.325819:0.245893:0.325819:0.245893:0.310880:0.082576:0.310880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se aplica la inversa de la :@0.082576:0.340948:0.242321:0.340948:0.242321:0.326008:0.082576:0.326008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función trigonométrica :@0.082576:0.356077:0.239760:0.356077:0.239760:0.341137:0.082576:0.341137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se está utilizando.:@0.082576:0.371206:0.228170:0.371206:0.228170:0.356266:0.082576:0.356266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.216735:0.392858:0.220813:0.392858:0.220813:0.385892:0.216735:0.385892:0.000000
Sen:@0.084401:0.398507:0.104196:0.398507:0.107958:0.386477:0.088163:0.386477:0.000000:0.000000:0.000000
a:@0.139239:0.392182:0.146510:0.392182:0.150272:0.380153:0.143002:0.380153:0.000000
b:@0.139237:0.406611:0.146508:0.406611:0.150270:0.394582:0.142999:0.394582:0.000000
Sen:@0.190151:0.398507:0.209947:0.398507:0.213709:0.386477:0.193913:0.386477:0.000000:0.000000:0.000000
a:@0.227688:0.392182:0.234959:0.392182:0.238721:0.380153:0.231450:0.380153:0.000000
b:@0.227685:0.406611:0.234956:0.406611:0.238718:0.394582:0.231447:0.394582:0.000000
β:@0.111492:0.399005:0.062953:0.399005:0.066534:0.387555:0.115073:0.387555:0.000000
β:@0.167958:0.399005:0.119419:0.399005:0.123000:0.387555:0.171539:0.387555:0.000000
():@0.107058:0.400809:0.126818:0.400809:0.126818:0.386154:0.107058:0.386154:0.000000:0.000000
=:@0.129102:0.399005:0.137038:0.399005:0.137038:0.387555:0.129102:0.387555:0.000000
→:@0.152143:0.399005:0.166410:0.399005:0.166410:0.387555:0.152143:0.387555:0.000000
=:@0.180503:0.399005:0.188439:0.399005:0.188439:0.387555:0.180503:0.387555:0.000000
⎛ ⎞:@0.221699:0.391887:0.244725:0.391887:0.244725:0.380437:0.221699:0.380437:0.000000:0.000000:0.000000
⎝ ⎠:@0.221699:0.406825:0.244725:0.406825:0.244725:0.395375:0.221699:0.395375:0.000000:0.000000:0.000000
⎜ ⎟:@0.221699:0.399991:0.244725:0.399991:0.244725:0.388542:0.221699:0.388542:0.000000:0.000000:0.000000
−:@0.212216:0.393146:0.216804:0.393146:0.216804:0.386527:0.212216:0.386527:0.000000
Solo se puede hallar el :@0.082576:0.436425:0.234287:0.436425:0.234287:0.421485:0.082576:0.421485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo de un triángulo :@0.082576:0.451553:0.238627:0.451553:0.238627:0.436614:0.082576:0.436614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usando las funciones :@0.082576:0.466682:0.224814:0.466682:0.224814:0.451743:0.082576:0.451743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seno, coseno o tangente.:@0.082576:0.481811:0.248206:0.481811:0.248206:0.466872:0.082576:0.466872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener el valor del :@0.082576:0.504089:0.245634:0.504089:0.245634:0.489149:0.082576:0.489149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo en la calculadora, :@0.082576:0.519218:0.250416:0.519218:0.250416:0.504278:0.082576:0.504278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa a::@0.082576:0.534347:0.144279:0.534347:0.144279:0.519407:0.082576:0.519407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shift:@0.082576:0.556624:0.110928:0.556624:0.110928:0.541709:0.082576:0.541709:0.000000:0.000000:0.000000:0.000000:0.000000
 la función el valor.:@0.110889:0.556624:0.232791:0.556624:0.232791:0.541684:0.110889:0.541684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo: Si :@0.082576:0.578901:0.183811:0.578901:0.183811:0.563962:0.082576:0.563962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen A:@0.082576:0.601179:0.118219:0.601179:0.118219:0.586264:0.082576:0.586264:0.000000:0.000000:0.000000:0.000000:0.000000
   = 0,86:@0.105635:0.601179:0.162463:0.601179:0.162463:0.586239:0.105635:0.586239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shift sen:@0.082576:0.623456:0.135175:0.623456:0.135175:0.608541:0.082576:0.608541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0,86:@0.135170:0.623456:0.165977:0.623456:0.165977:0.608516:0.135170:0.608516:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.082576:0.645733:0.091562:0.645733:0.091562:0.630819:0.082576:0.630819:0.000000
 = 60°.:@0.091495:0.645733:0.132560:0.645733:0.132560:0.630794:0.091495:0.630794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ángulos :@0.125949:0.695171:0.216432:0.695171:0.216432:0.678737:0.125949:0.678737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suplementarios son :@0.097746:0.711813:0.244684:0.711813:0.244684:0.695379:0.097746:0.695379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellos que, al :@0.112988:0.728455:0.229424:0.728455:0.229424:0.712021:0.112988:0.712021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumarlos, dan como :@0.095630:0.745097:0.246775:0.745097:0.246775:0.728663:0.095630:0.728663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado 180°.:@0.115620:0.761738:0.222724:0.761738:0.222724:0.745305:0.115620:0.745305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 1 G. 10) Reconoce el significado de las razones trigonométricas en un triángulo rectángulo para ángulos agudos, en particular, seno, coseno y tangente. :@0.087341:0.965315:0.942856:0.965315:0.942856:0.953363:0.087341:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Conoce y calcula las razones trigonométricas seno, coseno y tangente para los ángulos agudos de un triángulo rectángulo y las utiliza para resolver triángulos.:@0.087341:0.977418:0.938606:0.977418:0.938606:0.965466:0.087341:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000