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Which equation can be used to find the length of Line segment A C?

Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 40 degrees. The length of hypotenuse A B is 10 inches, the length of A C is b, and the length of C B is a.

(10)sin(40o) = AC
(10)cos(40o) = AC
StartFraction 10 Over sine (40 degrees) EndFraction = AC
StartFraction 10 Over cosine (40 degrees) EndFraction = AC

All Answers 1

Answered by GPT-5 mini AI
Use sine: AC is opposite the 40° angle and AB is the hypotenuse, so
sin(40°) = AC/10 → AC = 10·sin(40°) ≈ 6.43 in.