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Sally Citizen is walking along the street in New York City. When she is 100 feet from the Empire State Building, she looks up at an angle of elevation of 73° and sees a window washer hanging on the side of the building. Sally’s eyes are 5 feet above the street. To the nearest foot, how high is the window washer above the street?

User LeonG
by
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1 Answer

4 votes

Answer:

332.08 feet

Explanation:

Let h be the height of the window washer above the street

Using trigonometric ratio


\tan 73^\circ=(h)/(100)\\ h=100 * \tan 73^\circ\\h=327.08$ feet

The distance of the window washer above the street

=327.08+5

=332.08 feet

The window washer is 332.08 feet above the street.

User Tomasofen
by
6.4k points