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algebra

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a ladder is leaning up against a wall. The ladder is 8 feet long and is 3 feet away from the base of the wall. find the angle the ladder makes with the wall.

  • algebra -

    The ladder, ground, and wall form a rt. triangle:

    r = 8Ft = hyp.
    X = 3Ft = hor. side.
    Y = Wall = ver. side.

    cosA = X/r = 3/8 = 0.375.
    A = 68 Deg.

    B = 90 - 68 = 22 Deg. = Angle ladder makes with wall.

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