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A 172 ft tall tree casts a shadow on the ground. If the angle of elevation is 49°, find the distance from the top of the tree to the tip of the shadow.

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1 Answer

First we need to know the length of the shadow which will be
L= 172/tan49 = 149.51ft
Then using Pythagorean Theorem we get
DTop tip = ((149.51)2+ (172)2)0.5
DTopTip = 227.89 ft