Question

In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.

Answer 1

9514 1404 393

Answer:

TR = 362.0 ft

Explanation:

The tangent relation is useful for this.

Tan = Opposite/Adjacent

tan(75°) = TR/ST = TR/(97 ft)

TR = (97 ft)(tan(75°))

TR ≈ 362.0 ft