Question

From an upstairs window, I can see my neighbor’s fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor’s fence from my house?

Answer 1

1.84ft

Explanation:

From the figure attached,

AB = Height of the window = 15ft

Let the distance between the base of the housr and the fence 'C' = xft

If the angle of depression = 7°

Then angle of elevation of the top of the fence from the house = 7°

Now from right triangle ABC,

tan7° = x/15

x = tan7°×15

x = 0.1227×15

x = 1.84ft

Therefore, distance of the house from the fence is 1.84ft