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

SOH-CAH-TOA

sin Q = Opposite = 26

hypotenuse x

sin 54 = 26

x

x sin 54 = 26

x sin 54 = 26

sin 54 sin 54

x = 26 = 32.1378 ≈ 32.1 feet

sin 54