Aboy 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

1190.35 ft

Step-by-step explanation:

The figure for the given scenario is shown below.

From the triangle Δ ABC, AB is the height of mountain, BC is the distance of campsite from the foot of mountain and is the depression angle.

So, °

Let the side BC be ft.

Now, the tan of the angle A is given as:

Plug in for BC, 1700 ft for AB and 35° for . Solve for . This gives,

Therefore, the distance of campsite from the foot of the mountain is 1190.35 ft.

step-by-step explanation: