Question 808920: A tree is supported by a wire anchored in the ground 12 feet from its base. The wire is 4 feet longer than the height that it reaches on the tree. How long is the wire?
a) Draw a picture of this situation and label it. Let the variable x represent the length of the wire. Use the Pythagorean theorem to write a polynomial equation one of whoses solutions is the answer the question.
b) Solve the equation and give the length of the wire. Include units with your numerical solution.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = h + 4
b = 12
x = sqrt( h^2 + b^2 )
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h + 4 = sqrt( h^2 + 144 )
(h + 4)(h + 4) = h^2 + 144
h^2 + 8h + 16 = h^2 + 144
8h = 128
Answer:
h = 16
x = 20 feet
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