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16 September, 16:43

a repairman leans the top of a 9ft ladder against the top of a stone wall. the base of the ladder is 5.5ft from the wall. about how tall is the wall? round to the nearest tenth of a foot.

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  1. 16 September, 17:12
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    Using the Pythagorean theorem:

    a^2 + b^2 = c^2

    a and b are the sides and c is the hypotenuse.

    The length of the ladder would be the hypotenuse and the base away from the wall would be one side.

    So now we have:

    5.5^2 + b^2 = 9^2

    Simplify:

    30.25 + b^2 = 81

    Subtract 30.25 from each side:

    b^2 = 81 - 30.25

    b^2 = 50.75

    Take the square root of both sides:

    b = √50.75

    b = 7.123

    Rounded to the nearest tenth of a foot = 7.1 feet.
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