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31 August, 21:50

Suppose the foot of a 12-foot ladder was placed 4 feet from a building how high up on the building would the top of the ladder reach

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  1. 31 August, 23:09
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    Use the pythagorean theorem.

    The foot of the ladder is 4 feet away from the building (leg 1)

    The height of the building is leg 2

    The ladder, which would be at an angle, is 12 feet. So our hypotenuse would be 12. The equation for this would be a²+4²=12²

    We can then begin to solve

    a² + 16 = 144

    a² = 128

    a=11.31

    So, our answer is: The top of the ladder reaches the building at 11.31 feet up
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