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Math Help - Find Measure of Angle x

  1. #1
    MHF Contributor
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    Smile Find Measure of Angle x

    A flagpole that stands on level ground. Two cables, r and s, are attached to the pole at a point 16 feet above the ground. The combined length of the two cables is 50 feet. If cable r is attached to the ground 12 feet from the base of the pole, what is the measure of the angle, x, to the nearest degree, that cable s makes with the ground?
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  2. #2
    Super Member 11rdc11's Avatar
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    32 degrees

    You can find this by using Pythagorean Theorem to see how much cable is left for the other triangle.

    \sqrt{16^2 + 12^2} = 20

    so 50 - 20 = 30

    So you know the hypotenuse and the opposite side for the other triangle.

    sin\theta= \frac{16}{30}
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  3. #3
    MHF Contributor
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    Thanks

    Thanks. I can take it from here.
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