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5 votes
In ΔOPQ, p = 6.3 cm, � m∠O=149° and � m∠P=29°. Find the length of q, to the nearest 10th of a centimeter.

1 Answer

1 vote

Final answer:

To find the length of q in triangle OPQ, we can use the Law of Sines.

Step-by-step explanation:

To find the length of q in triangle OPQ, we can use the Law of Sines. The law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In this case, we can use the following formula: q/sin(P) = p/sin(Q). Plugging in the given values, we get q/sin(29°) = 6.3/sin(149°). Solving for q, we find that q ≈ 10.7 cm.

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