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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

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Answer:

5.8 units

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:

[tex] \frac{g}{ \sin \: 35} = \frac{10}{ \sin \: 80} [/tex]

We solve for g to get:

[tex]g= \frac{10}{ \sin \: 80} \times \sin \: 35[/tex]

[tex]g = 5.8[/tex]

Option A is correct

Answer:

5.8

Explanation:

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