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Paha777 [63]
3 years ago
10

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

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
\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
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