Question 1170852: A tree is supported by a wire anchored at the ground 8m from its base. The wire is 4m longer than the height that it reaches on the tree. Find the length of the wire.
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! There is a right triangle formed by the base, the height on the tree, h, and
the length of the wire, which is the hypotenuse. Using the Pythagorean
theorem, we have (h+4)^2 = h^2 + 8^2 -> h^2 + 8h + 16 = h^2 + 64.
This gives 8h = 48 -> h = 6. Thus the length of the wire = 10
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