Law of sines: in △fgh, h = 10, m∠f = 65°, and m∠g = 35°. what is the length of g? use the law of sines to find the answer.

M∠H = 180° - (65° + 35°) = 180° - 100° = 80°

The Law of sines:

h / sin H = g / sin G

10 / sin 80° = g / sin 35°

10 / 0.9848 = g / 0.5736

g = (10 · 0.5736) : 0.9848 = 5.736 : 0.9848 = 5.8245 ≈ 5.8

Answer: g = 5.8