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 re

Question

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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Emery 7 months 2021-10-07T23:57:32+00:00 1 Answer 0 views 0

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    2021-10-07T23:58:57+00:00

    Answer:

    15.2 feet

    Step-by-step explanation:

    We use Pythagorean Theorem to find the height.

    The hypotenuse of the formed triangle =  length of ladder = 16 feet

    base = 5 feet

    let h = height of house

    16 ^2 = 5^2  +  h^2

    256 = 25 + h^2

    231 = h^2

    h = root(231) = 15.1986 feet

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