SOLUTION: Hi, can someone please help me out on this? Thanks a lot! A tree grew at a 3� slant from the vertical. At a point 60 feet from the tree, the angle of elevation to the top of th

Question 866048: Hi, can someone please help me out on this? Thanks a lot!
A tree grew at a 3� slant from the vertical. At a point 60 feet from the tree, the angle of elevation to the top of the tree is 14�. Find the height of the tree to the nearest tenth of a foot.
Thanks again.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A tree grew at a 3� slant from the vertical. At a point 60 feet from the tree, the angle of elevation to the top of the tree is 14�. Find the height of the tree to the nearest tenth of a foot.
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Draw the picture.
You have a triangle with base angle at the tree = 87 degrees
base of the triangle = 60
angle opposite the tree is 14 degrees.
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Angle at the top of the tree = 180-(14+87) = 79 degrees
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Use the Law of Sines to get::
h/sin(14) = 60/sin(79)
height of the tree = sin(14)[60/sin(79)] = 14.79 ft
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Cheers,
Stan H.

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