Question

In AQRS, the measure of ZS=90°, the measure of ZQ=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.

Answer 1

17.8

Explanation:

Using the SOH CAH TOA identity

Opposite = 16

Hypotenuse = QR = x

Angle of elevation = 64 degrees

Sin64 = opp/hyp

Sin 64 = 16/x

x = 16/sin64

x = 16/0.8898

x = 17.8

Hence QR is 17.8 to the nearest tenth of a foot