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23 September, 05:44

Use the Law of Sines. Find m∠C to the nearest tenth. a. 68.3° b. 24.1° c. 111.7° d. 155.9° Triangle line CB is 57, line BA 86, ∠A is 38°

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  1. 23 September, 06:32
    0
    m∠C = 68.3 ⇒ answer (a)

    Step-by-step explanation:

    In ΔABC:

    ∵ CB = 57 and BA = 86

    ∵ m∠A = 38°

    By using the sin Rule:

    AB/sinC = BC/sinA

    ∵ AB = 86, BC = 57 and m∠A = 38°

    ∴ 86/sinC = 57/sin38

    ∴ sinC = (86 * sin38) / 57 = 0.9288928

    ∴ m∠C = 68.3 ⇒ answer (a)
  2. 23 September, 07:53
    0
    Same answer as the first one above
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