Answer:
10.3 cm
Explanation:
You want the measure of side 'r' in triangle QRS, given s = 4.2 cm, R = 160°, and S = 8°.
Law of sines
The law of sines tells you side lengths are proportional to the sine of the opposite angle.
r/sin(R) = s/sin(S)
r = s×sin(R)/sin(S) = (4.2 cm)sin(160°)/sin(8°)
r ≈ 10.3 cm
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