Question

Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.

Answer 1

(d) 219.80 ft

Explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft