Question

Use the Law of Sines. Find b to the nearest tenth. Triangle CBA line CB= 76, ∠A=44° , ∠B=45° , Line b is in between AC

a. 47.4 b. 77.4 c. 74.7 d. 37.3

Answer 1

b = 77.4 ⇒ answer (b)

Explanation:

∵ m∠A = 44° , m∠B = 45° , BC = 76

By using sin Rule:

∵ AC/sinB = BC/sinA

∴ AC/sin45 = 76/sin44

∴ AC = (76 × sin45) ÷ sin44 = 77.4

∵ AC = b

∴ b = 77.4 answer (b)