Question

You are skiing down a mountain with a vertical height of 650 feet. The distance from the top of the mountain to the base is 1300 feet. What is the angle of elevation from the base to the top of the mountain

Answer 1

Answer:

The angle of elevation from the base to the top of the mountain is 30°.

Step-by-step explanation:

Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.

To find: The angle of elevation from the base to the top of the mountain.

Let AB be the height of mountain and BC be the base.

Then, according to question, AB=650 feet and AC=1300 feet.

Let ∠ACB=$\Theta$.

Then, in ΔABC,

$sin\Theta=\frac{AB}{AC}$

⇒$sin\Theta=\frac{650}{1300}$

⇒$sin\Theta=\frac{1}{2}$

⇒$\Theta=30$°

Hence, the angle of elevation from the base to the top of the mountain is 30°.