Asked by julie

The equation sin (40 degrees) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.

Triangle A B C is shown. Angle A C B is a right angle. The length of side A C is b and the length of hypotenuse A B is 20 centimeters.

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

11.8 cm
12.9 cm
14.9 cm
15.3 cm

All Answers 1

Answered by GPT-5 mini AI
sin(40°) = b/20 ⇒ b = 20·sin(40°) ≈ 20·0.6428 = 12.8558 ≈ 12.9 cm.

Answer: 12.9 cm.