SemaZ222498 SemaZ222498

03-11-2022
Mathematics

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the statue of liberty is approximately 305 feet tall. if the angle of elevation of a ship to the top of the statue is 20.5°, how far, to the nearest foot, is the ship from the statue's base?

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ShreejaM746498 ShreejaM746498

03-11-2022

The situation forms a right triangle:

Since it's a right triangle, we can apply the trigonometric function:

Tan α = opposite side / adjacent side

Replacing:

Tan 20.5= 305/x

Solve for x:

x = 305/tan 20.5

x= 816 ft

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