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6 October, 20:38

Consider triangle ABC with M < C = 65, b = 5 and c = 6. Which option lists an expression that is equivalent to m

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  1. 6 October, 20:48
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    Given:

    m∠C = 65°

    b = 5

    c = 6

    Apply the Law of Sines.

    sin (B) / b = sin (C) / c

    sin (B) / 5 = sin (65) / 6

    sin (B) = (5*sin (65)) / 6 = 0.7553

    B = arcsin (0.7553) = 49.05°

    Answer: m∠B = arcsin (0.7553) = 49° (approx)
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