a boy scout on top of a 1700 foot tall mountain spots a campsite. if he measures the angle of depression at 35°, how far is the campsite from the foot of the mountain

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given :

Angle of depression = 35°

Height or mountain top = 1700 feet 

We know, tanA = P/B 

Here, base B = 1700 feet

Now, P = ?

Tan35° = P/1700

0.70020 = P/1700

P = 1190.35

 

Thus, campsite from the foot of the mountain is 1190.35 feet