Question

Use the Law of Sines to find the indicated angle θ. Assume C = 63°, b = 56.3, c = 80.1. (Round your answer to one decimal place.)

Answer 1

$\frac{b}{\sin B} = \frac{c}{\sin C} \\ \\ \frac{56.3}{\sin B} = \frac{80.1}{\sin 63^o} \\ \\ \sin B= \frac{56.3\sin 63^o}{80.1} =0.6262 \\ \\ B=\arcsin 0.6262=38.8^o$