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14 May, 13:24

A roofer leaned a 16 foot ladder against a house. If the base of the ladder is 5 feet from the house how high up the house does the ladder reach?

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  1. 14 May, 13:53
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    15.1 feet up the wall

    Step-by-step explanation:

    This is a Pythagorean theorem question

    The ladder is the hypotenuse or c

    the distance from the wall is a leg or a

    and the wall is the other leg or b

    a² + b² = c²

    5² + b² = 16²

    25 + b² = 256

    -25 - 25

    b² = 231

    √ √

    √b² = √ 231

    b = 15.1
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