SOLUTION: A tree is supported by a wire anchored in the ground 15 feet from its base. The wire is 4 feet longer than the height that it reaches on the tree. Find the length of the wire.

Question 809205: A tree is supported by a wire anchored in the ground 15 feet from its base. The wire is 4 feet longer than the height that it reaches on the tree. Find the length of the wire.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b = 15
L = h + 4
h = L - 4
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L = sqrt( bb + hh )
L = sqrt( 225 + (L - 4)(L - 4) )
LL = 225 + (L - 4)(L - 4)
LL = 225 + LL - 8L + 16
225 - 8L + 16 = 0
241 = 8L
Answer:
L = 30.125 feet
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