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21 May, 01:14

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder. find the length of the ladder if the distance from the bottom of the ladder to the building is 16 feet.

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  1. 21 May, 02:31
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    This is the concept of application of Pythagorean theorem and algebra;

    Suppose the the length of the ladder is x ft, the distance from the ground to the top of the ladder will be (x-8) ft, the distance from the bottom of the ladder to the building is 16ft, thus to find the length of the ladder we proceed as follows;

    c^2=a^2+b^2

    x^2 = (x-8) ^2+16^2

    x^2=x^2-16x+64+256

    collecting the like terms we get:

    x^2-x^2+16x=320

    16x=320

    solving for x we get:

    x=320/16

    x=20 ft

    the answer is x=20 ft
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