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If s=15, S=45 degrees, and Q=105 degrees, use Law of Sines or Law of Cosines to solve for side q in the triangle shown below. Round to the nearest hundredth.

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sqdancefan

Answer:

  20.49

Step-by-step explanation:

You want the measure of side q in a triangle with s=15, S=45°, Q=105°.

Law of sines

The law of sines tells you ...

  q/sin(Q) = s/sin(S)

Then ...

  q = s·sin(Q)/sin(S) = 15·sin(105°)/sin(45°) ≈ 20.49

The measure of side q is about 20.49 units.

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