Question

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 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. 5.8 units 6.7 units 9.2 units 9.8 units

Answer 1

5.8

Step-by-step explanation:

took the test

Answer 2

5.8 units

Step-by-step explanation:

The sum of angles in a triangle is 180°

<F+35°+65°=180°

<F+100°=180°

<F=180°-100°

<F=80°

Using the sine rule:

`(g)/( \sin \: 35) = (10)/( \sin \: 80)`

We solve for g to get:

`g= (10)/( \sin \: 80) * \sin \: 35`

`g = 5.8`

Option A is correct