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

Some of the practical applications of trigonometry are used in architecture while calculating the slope of roofs to build a home to drain rainwater or snow. Another practical application is measuring the height of different objects such as a mountain or a tree or a tower.

Given

Height of window P = 90 feet

Angle of depression = 22°

Distance between building and sculpture(B) :

Using trigonometry application

[tex]Tan (22^{0})==\frac{P}{B}[/tex]

[tex]0.4040=\frac{90}{B}[/tex]

B = 222.772

Rounding to the nearest hundredth

B = 222.76 (Approximately)

Distance between building and sculpture is 222.76 feet.

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