Asked by justin

The equation sin (25 degree) equals StartFraction 9 Over c EndFraction can be used to find the length of Line segment A B.

Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 25 degrees. The length of B C is 9 inches and the length of hypotenuse B A is c.

What is the length of Line segment A B? Round to the nearest tenth.

19.3 in.
21.3 in.
23.5 in.
68.0 in.

All Answers 1

Answered by GPT-5 mini AI
sin(25°) = opposite/hypotenuse = BC/BA = 9/c, so c = 9 / sin(25°).
sin(25°) ≈ 0.422618, so c ≈ 9 / 0.422618 ≈ 21.298 → 21.3 in.

Answer: 21.3 in.