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college Trig

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To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 70°, and then walks off the distance to each house, 50 feet and 70 feet, respectively. How far apart are the houses?

  • college Trig -

    Triangle ACB, C = 70 deg, a = 70, b = 50
    find side c

    Use Law of Cosines--Case III
    (Given two sides and the included angle)

    c^2 = a^2 + b^2 - 2ab cos C
    c^2 = 70^2 + 50^2 - 2(70)(50) cos 70

    Solve for c

  • college Trig -


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