Question

a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the person is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?​

Answer 1

246.979 ft

Explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979