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leonid [27]
2 years ago
10

Un observador se encuentra en un faro al pie de un acantilado a 687m sobre el nivel del mar, desde este punto observa un barco c

on un angulo de depresion de 23 grados. se desea saber a que distancia de la base del acantilado se encuentra el barco
Mathematics
1 answer:
maks197457 [2]2 years ago
8 0

La distancia entre el barco y la base del acantilado es 291.61 metros.

<h3>¿Como calcular la distancia?</h3>

Podemos pensar en esta situacion como en un triangulo rectangulo. Uno de los catetos mide 687 metros, que es la altura del acantilado.

Y conocemos el angulo al que ese cateto es adjacente, que mide 23 grados.

La distancia entre la base del acantilado y el barco será el otro cateto del triangulo rectangulo.

Entonces podemos usar la relación:

tan(a) = (cateto opuesto)/(cateto adjacente)

Reemplazando lo que sabemos:

tan(23°) = D/687m

tan(23°)*687m = D = 291.61m

La distancia entre el barco y la base del acantilado es 291.61 metros.

Sí quieres aprender más sobre triangulos rectangulos:

brainly.com/question/2217700

#SPJ1

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