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27 December, 09:40

In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.

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  1. 27 December, 10:54
    0
    =20.0

    Step-by-step explanation:

    We can first find the value of the angle at B using the sine formula.

    a/sine A=b/Sin B

    9/sin 15=12/sin B

    Sin B = (12 sin 15) / 9

    Sin B=0.345

    B=20.18°

    Therefore angle C = 180 - (15+20.18)

    =144.82°

    a/Sin A=c/Sin C

    9/Sin 15=c/Sin 144.82

    c = (9 sin 144.82) / sin15

    =20.0
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