Question

In ΔOPQ, q = 4.9 inches, ∠Q=37° and ∠O=89°. Find the length of p, to the nearest 10th of an inch.

Answer 1

Explanation:

6.6

Answer 2

6.6 in

Explanation:

`\angle P=180^(\circ)-37^(\circ)-89^(\circ)=54^(\circ) \\ \\ (p)/(\sin P)=(q)/(\sin Q) \\ \\ (p)/(\sin 54^(\circ))=(4.9)/(\sin 37^(\circ)) \\ \\ p=(4.9\sin 54^(\circ))/(\sin 37^(\circ)) \\ \\ p \approx 6.6`