Question

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=64°, and HF = 72 feet. Find the length of FG to the nearest tenth of a foot.

Answer 1

9514 1404 393

Answer:

80.1 feet

Explanation:

Side FH is opposite the given angle G, and side FG is the hypotenuse of the right triangle. The appropriate trig relation is ...

Sin = Opposite/Hypotenuse

sin(64°) = (72 ft)/FG . . . . . substitute given values

FG = (72 ft)/sin(64°)

FG ≈ 80.1 ft