SOLUTION: This is a worksheet problem. Thank you! Suppose the angle of elevation to the top of a tree is 50 degrees. If you are standing 35 feet away from the tree, how tall is the tree

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: This is a worksheet problem. Thank you! Suppose the angle of elevation to the top of a tree is 50 degrees. If you are standing 35 feet away from the tree, how tall is the tree      Log On

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Question 77638: This is a worksheet problem.
Thank you!
Suppose the angle of elevation to the top of a tree is 50 degrees. If you are standing 35 feet away from the tree, how tall is the tree?
Thank you so much again!
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the angle of elevation to the top of a tree is 50 degrees. If you are standing 35 feet away from the tree, how tall is the tree?
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Draw the picture of the rt triangle with the tree opposite the 50 degree angle.
and 35 the length of the side adjacent to the 50 degree angle.
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EQUATION:
Tangent(50 degrees) = opp/adj = tree height/35
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tree height = 35*tan(50)=41.71 ft.
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Cheers,
stan H.