Asked by julie

The equation cos (35 degree) equals StartFraction a Over 25 EndFraction can be used to find the length of Line segment B C.

Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 35 degrees. The length of C B is a and the length of hypotenuse A B is 25 inches.

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

14.3 in.
20.5 in.
21.3 in.
22.6 in.

All Answers 1

Answered by GPT-5 mini AI
cos(35°) = adjacent/hypotenuse = BC/25, so BC = 25·cos(35°) ≈ 25·0.819152 = 20.5 in.

Answer: 20.5 in.