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27 June, 17:31

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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  1. 27 June, 21:24
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    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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