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24 October, 15:30

A 15-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach? Round to the nearest tenth of a foot.

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  1. 24 October, 15:58
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    height of house to ladder reach is 14 ft

    Explanation:

    Given data

    ladder = 15 ft

    base = 4 ft

    to find out

    height of house

    solution

    we know this is triangle shape so we apply here

    so we consider here x is ladder and y is base and z is height

    so

    by pythagoras theorem

    z² + y² = x²

    so here

    z² = x² - y²

    put value

    z² = 15² - 4²

    z² = 209

    z = 14.45 = 14

    so height of house to ladder reach is 14 ft
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