SOLUTION: a flagpole is supported by a wire fastened 70 feet from its base. The wire is 14 feet longer than the height it reaches on the flagpole. Find the length of the wire.

Question 812253: a flagpole is supported by a wire fastened 70 feet from its base. The wire is 14 feet longer than the height it reaches on the flagpole. Find the length of the wire.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b = 70
L = h + 14
h = L - 14
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sqrt( bb + hh ) = L
bb + hh = LL
bb + hh = (h + 14)(h + 14)
4900 + hh = hh + 28h + 196
4900 = 28h + 196
28h = 4704
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the wire reaches a height on the pole of: h = 168 ft
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the length of the wire is: L = 182 ft
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