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ASHA 777 [7]
3 years ago
8

Un edificio proyecta una sombra de 20 m de longitud. Si el angulo de la punta de la sombra a un punto de la parte alta del edifi

cio es de 69° ¿Que altura tiene el edificio?
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

52 metros.

Step-by-step explanation:

En este caso debemos usar las identidades trigonométricas. La información por medio del enunciado es:

*Sombra proyectada, que mide 20 metros y sería el cateto adyacente

*Ángulo de inclinación que son 69°

Con estos datos podemos calcular el cateto opuesto que sería altura, por medio de la identidad de la tangente:

tan α = CO/CA

CO = tanα * CA

CO = tan(69) · 20 m

CO = 52 metros

Lo que quiere decir que la altura del edificio es de 52 metros.

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