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Calculate maximum feet: Pythorean theorem problem

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An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground. Without moving the base, how high will the ladder reach, when extended?

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Solution Summary

The height of a ladder is calculated in this solution.

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From the figure, we can see, it's actually a rectangular triangle.
we should find the ...

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