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24 December, 20:04

In ΔABC, b = 68 inches, ∠B=65° and ∠C=93°. Find the length of a, to the nearest inch.

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  1. 24 December, 23:44
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    28 inches

    Step-by-step explanation:

    ∠A + ∠B + ∠C = 180°

    ∠A + 65° + 93° = 180°

    ∠A + 158° = 180°

    ∠A = 180°-158° = 22°

    Using Law of Sines

    a/sinA = b/sinB

    a/sin22 = 68 inches/sin65

    a/sin22 = 68/0.9063 = 75.03

    a = 75.03 x sin 22

    a = 75.03 x 0.3746 = 28.106238≈28 inches
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