Question

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.

Answer 1

32.1 ft

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