SOLUTION: Ferdy uses a guy wire to support a young tree. He attaches it to a point0.6 m up the tree trunk. The wire is 10 m long. How far away from the trunk will the wire reach?

Algebra ->  Pythagorean-theorem -> SOLUTION: Ferdy uses a guy wire to support a young tree. He attaches it to a point0.6 m up the tree trunk. The wire is 10 m long. How far away from the trunk will the wire reach?      Log On


   

Question 224126: Ferdy uses a guy wire to support a young tree. He attaches it to a point0.6 m up the tree trunk. The wire is 10 m long. How far away from the trunk will the wire reach?
Answer by nerdybill(7384) About Me  (Show Source):
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Ferdy uses a guy wire to support a young tree. He attaches it to a point0.6 m up the tree trunk. The wire is 10 m long. How far away from the trunk will the wire reach?
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NOTE: 0.6 m is NOT very far up the tree trunk -- it wouldn't be much of a support -- are you sure it was .6m up??
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Apply Pythagorean theorem -- where the guy wire is the hypotenuse.
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Let x = distance from trunk
then
x^2 + .6^2 = 10^2
x^2 + .36 = 100
x^2 = 99.64
x = sqrt(99.64)
x = 9.982 m
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