Geometry

posted by Kayla

three security cameras were mounted at the corners of a triangular parking lot. camera 1 was 110 ft. from camera 2, which was 137 ft from camera 3. cameras 1 and 3 were 158 ft. apart. which camera had to cover the greatest angle?

Camera 1
None
Camera 3
Camera 2 **

or camera 3 I'm not sure

  1. Reiny

    direct application of the cosine law,
    using the fact that the largest angle is opposite the largest side ....

    158^2 = 110^2 + 137^2 - 2(110)(137)cosØ
    30140 cosØ = 5905
    cosØ = .195919...
    Ø = appr 78.7°

    Answer accordingly.

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