Question

In FGH, the measure of H=90°, the measure of F=18°, and GH = 9.4
feet. Find the length of HF to the nearest tenth of a foot.​

Answer 1

Answer:

FG = 9.7ft

Step-by-step explanation:

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)