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What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

What is the length of line RS? Use the law of sines to find the answer.Round to the-example-1

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Using the law of sines,
sin80°/3.1 = sin∠QSR/2.4
∠QSR = sin^-1(2.4sin80°/3.1)
≈ 49.679°
∠SQR = 180° - 80° - 49.679° (angles in a triangle)
= 50.321°
sin50.321°/RS = sin80°/3.1
RS = (3.1sin50.321°/sin80°)
= 2.4 units (nearest tenth)
The length of line RS is 2.4 units.
User Fabian Hueske
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