algebra 2

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a ladder is resting against a wall. the top of the ladder touches the wall at a height of 6 feet. find the length of the ladder if the lenght is 2 feet more than its distance from the wall.

  • algebra 2 -

    A rt. triangle is formed:

    X Ft. = hor. side.
    6 Ft. = ver. side.
    (x+2) Ft. = hyp.

    x^2 + 6^2 = (x+2)^2.
    x^2 + 36 = x^2 + 4x + 4.
    x^2 - x^2 + 4x + 4 = 36.
    4x + 4 = 36.
    4x = 36 - 4 = 32.

    X = 32 / 4 = 8. Ft.
    X+2 = 8 + 2 = 10 Ft .

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