Question

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

Answer 1

Using the law of sines:

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Solve for b:

$\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}$

Answer:

7.708