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Degree of angle problem?

A smokestack is 200 feet high. A guy wire must be fastened to the smokestack 35 feet from its top to the level ground below. The guy wire is then attached to the ground 105 feet from the base of the smokestack. What angle does the guy wire make with the ground? Round to the nearest tenth of a degree. Let x represent the angle the guy wire makes with the ground.

2 Answers

  • 1 decade ago
    Favorite Answer

    200 - 35 = 165

    So 165/105 = tan (Angle)

    Angle = 57.5

  • 1 decade ago

    you are looking for the angle with an opposite side of 165, and an adjacent side of 105

    tan(x) = 165/105

    x = 57.52880770915151076867987356129 degrees

    give or take

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