Question

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°

Answer 1

m∠C = 68.3 ⇒ answer (a)

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)