Question

Use the Law of Sines. Find b to the nearest tenth. a. 45.0 b. 81.4 c. 65.4 d. 90.4 Triangle CBA Line CB is 73 ∠B= 56°, ∠A=48°, b is a line between AC

Answer 1

b = 81.4 ⇒ answer (b)

Explanation:

∵ In ΔABC

∵ CB = 73 , m∠B = 56° , m∠A = 48°

∵ AC = b

By using sin Rule:

∵ b/sinB = BC/sinA

∴ b/sin56 = 73/sin48

∴ b = (73 × sin56) ÷ sin48 = 81.4 ⇒ answer (b)