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 90 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 22°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 36.36 feet 83.45 feet 128.67 feet 222.76 feet

Question

Mathematics

Sophia Hess

7 August, 03:51

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 90 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 22°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 36.36 feet 83.45 feet 128.67 feet 222.76 feet

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Answers (1)

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Brian · Answer 1

Distance between building and sculpture is 222.75 feet

Step-by-step explanation:

Given:

Height of window (P) = 90 ft

Angle of depression = 22°

Find:

Distance between building and sculpture (B):

Computation:

Using trigonometry application:

Tan 22° = P/B

0.4040 = 90 / B

B = 222.76 ft (Approx)

Distance between building and sculpture is 222.75 feet