Given that force 1=60 pounds and force 2=90 pounds, find the angle between the forces if the magnitude of the resultant force is 50 pounds. Round answer to the nearest degree and show work.

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  1. make a diagram,
    obviously the angle between the two given forces must be obtuse.
    Complete the parallogram

    I see:
    50^2 = 60^2 + 90^2 - 2(60)(90)cosØ
    cosØ = 9200/10800 = .85185
    Ø = 31.6°

    so the angle between the two forces = 180-31.6= 148.4°
    to the nearest degree ---- 148°

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