Question

In triangle ABC, if ∠A = 120°, a = 8, and b = 3, then ∠B

Answer 1

∠B ≈ 18.95°

Explanation:

The law of sines tells you ...

sin(B)/b = sin(A)/a

sin(B) = (b/a)sin(A) = (3/8)sin(120°) . . . . multiply by b; fill in the numbers

B = arcsin(3/8·sin(120°)) ≈ 18.95° . . . . use the inverse sine function