Question

Use the Law of Sines to find the measure of angle R to the nearest degree.

Answer 1

$\frac{\sin(R)}{PQ} = \frac{\sin(Q)}{PR}$

$\frac{\sin(R)}{24.7} = \frac{\sin(43^{\circ})}{16.9}$

$\sin(R) = 24.7*\frac{\sin(43^{\circ})}{16.9}$

$\sin(R) \approx 0.9967668$

$R \approx \arcsin(0.9967668)$

$R \approx 85.39137896^{\circ}$

$R \approx 85^{\circ}$

The final answer is 85 degrees