Question #e435f

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Answer 1 · 2018-02-24T14:09:55

Missing angles are $color(purple)(hat B = 38.18^@, hat C = 109.82^@$

Missing side $color(green)(c = 21.3$

Given $a = 12, hatA = 32^@, b = 14$

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$sin B = (b * sin A) / a = (14 * sin 32) / 12 = 0.6182$

$hat B = sin ^-1 0.6182 = 38.18^@$

$hat C = 180 - 32 - 38.18 = 109.82^@$

$c = (a* sin C) / sin A = (12 * sin (109.82)) / sin 32 = 21.3$