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In δefg, f = 61 inches, ∠f=79° and ∠g=34°. find the length of g, to the nearest 10th of an inch.
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In δefg, f = 61 inches, ∠f=79° and ∠g=34°. find the length of g, to the nearest 10th of an inch.

User Eli Rose
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We can use the law of sines to solve for the length of side g in triangle DEF.

sin(∠G)/g = sin(∠F)/f

sin(34)/g = sin(79)/61

g = sin(34)*61/sin(79)

g ≈ 31.8 inches (rounded to the nearest tenth of an inch)

Therefore, the length of side g is approximately 31.8 inches.
User Stfn
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