Question

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.

Answer 1

I think 5.8 is the correct answer. see picture

Explanation:

Answer 2

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