Question

In ARST, the measure of ZT=90°, the measure of ZR=39°, and TR = 55 feet. Find the

length of ST to the nearest tenth of a foot.

Answer 1

44.5 ft

Explanation:

Reference angle = 39°

Opposite = x

Adjacent = 55

Apply trigonometric function TOA:

Tan 39 = Opp/Adj

Tan 39 = x/55

55 × Tan 39 = x

44.5381218 = x

x ≈ 44.5 ft