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

29.11 ft

Step-by-step explanation:

Let's look at what we know (refer to the picture).

80 ft - distance from Nisha's window to the ground

20° - measure of angle from Nisha's window to the sculpture

The side we know (80 ft) is adjacent to the angle. The side we are trying to find is opposite the angle. So we will use tangent (opposite/adjacent).

tan (20°) = x/80

0.3639 = x/80

x/80 = 0.3639

x = 0.3639 × 80

x = 29.11 ft

The building is 29.11 ft away from the sculpture.