HELP Plz help with math - completely lost

Question

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

Answer 1

Hi Nancy,

You can use the LAW OF SINES . The LAW OF SINES states that sinA/a = sinB/b = sinC/c.

sinA = sin120° ; a = 8 ; b = 3. Since we know sinA/a = sinB/b we plug in all of these values and solve for ∠B.

So (sin120°)/8 = sinB/3

(sin120°)/8 × 3 = sinB

.32476 = sin B

sin^-1 (.32476) = B

B = 18.95101°≈ 19°