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ABC- with angles AB, and C and sides AB,BC, and AC, angle B is right 90degree angle, if sin of angle A is 0.5, side BC 8in., what is length of AC

  • trig -

    Perhaps you recognized the 30-6-90 triangle (sinØ=1/2 , so Ø=30°)

    so just use a simple ratio:
    h/2 = 8/1
    h = 16

    sinØ - .5
    Ø = 30°
    then sin30 = 8/h
    h = 8/sin30 = 8/(1/2) = 16

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