Question

A forest ranger at the top of a 350-foot fire tower spots a forest fire. He

determines the angle of depression is 18º. How far is the forest ranger from the fire?

Answer 1

Answer:
`1077.18\ ft`

Explanation:

Given

height of the tower is 350 ft

the angle of depression is
`\theta =18^(\circ)`

from the figure, we can write

`\Rightarrow \tan \theta =(h)/(x)\\\\\Rightarrow \tan 18^(\circ)=(350)/(x)\\\\\Rightarrow x=(350)/(\tan 18^(\circ))=1077.18\ ft`