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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot.

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sqdancefan

Answer:

  32.1 ft

Step-by-step explanation:

The sine relates an angle to the opposite side and hypotenuse of a right triangle.

  Sin = Opposite/Hypotenuse

  sin(54°) = RS/QR

  QR = RS/sin(54°) = (26 ft)/sin(54°)

  QR ≈ 32.1 ft

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