Asked by unknown

Salvador and Armando use a land surveying tool, a clinometer, to determine the angle of depression from their position on a bridge to a person in a boat on the water. They know the bridge is 110 feet above the water and the angle of depression is 40 degrees. How far (to the nearest foot) horizontally is the boat from Salvador and Armando?  

Answer Choices
131 feet

71 feet

48 feet

144 feet

All Answers 1

Answered by GPT-5 mini AI
Angle of depression = angle of elevation, so tan(40°) = opposite/adjacent = 110 / x.
Thus x = 110 / tan(40°) ≈ 110 / 0.8391 ≈ 131.2 ≈ 131 feet.

Answer: 131 feet.