A 40 foot tree casts a shadow. The distance from the top of the tree to the tip of the shadow is 41 feet. How long of a shadow did the tree cast?

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12-02-2018
Mathematics

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A 40 foot tree casts a shadow. The distance from the top of the tree to the tip of the shadow is 41 feet. How long of a shadow did the tree cast?

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sqdancefan sqdancefan · Answer 1 · 2018-02-18T09:29:19+01:00

sqdancefan sqdancefan

18-02-2018

Let s represent the length of the shadow. By the Pythagorean theorem,
.. s^2 +40^2 = 41^2
.. s^2 = 1681 -1600 = 81
.. s = 9

The length of the shadow is 9 feet.

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