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A skier is on the top of a 350 meter tall mountain looking down at a tree. The direct path from the tree to the skier is 505 meters. What is the angle of depression from where the skier is standing to the base of the tree

User Igwe Kalu
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1 Answer

9 votes

Answer:


43.87^(\circ)

Explanation:

We are given that

Height of mountain=350 m

Distance from the tree to the skier=505 m

We have to find the angle of depression from where the skier is standing to the base of the tree.

In triangle ABC


(AB)/(AC)=sin\theta

By using the formula


(Perpendicular\;side)/(Hypotenuse)=sin\theta


(350)/(505)=sin\theta


sin^(-1)((350)/(505))=\theta


\theta=43.87^(\circ)

Hence, the angle of depression from where the skier is standing to the base of the tree=
43.87^(\circ)

A skier is on the top of a 350 meter tall mountain looking down at a tree. The direct-example-1
User Jeff Li
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