Question

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

Answer 1

`(\sin(R))/(PQ) = (\sin(Q))/(PR)`


`(\sin(R))/(24.7) = (\sin(43^(\circ)))/(16.9)`


`\sin(R) = 24.7*(\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