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A man is standing 14 feet from a spot that is directly below a bird's nest in a tree. He looks up at the bird's nest with an angle of elevation of 36 degrees. His eyes are 5 feet from the ground. How high off the ground is the bird's nest? If necessary, round your answer to the nearest tenth.

 Apr 16, 2020
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The angle is 36o.

The opposite side is the height off the ground; call it x.

The distance to the tree is the adjacent side and is 14 feet.

tangent = opposite / adjacent

tan(36o)  =  x / 14

tan(36o) · 14  =  x                         <---  calculator time!

 Apr 16, 2020

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