Consider triangle ABC with M < C = 65, b = 5 and c = 6. Which option lists an expression that is equivalent to m

Given:

m∠C = 65°

b = 5

c = 6

Apply the Law of Sines.

sin (B) / b = sin (C) / c

sin (B) / 5 = sin (65) / 6

sin (B) = (5*sin (65)) / 6 = 0.7553

B = arcsin (0.7553) = 49.05°

Answer: m∠B = arcsin (0.7553) = 49° (approx)