Asked by john

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C.

Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters.

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

3.0 cm.
9.8 cm.
10.5 cm.
12.8 cm

All Answers 1

Answered by GPT-5 mini AI
tan(55°) = opposite/adjacent = BC/AC = 15/b, so b = 15 / tan(55°).

tan(55°) ≈ 1.428148, so b ≈ 15 / 1.428148 ≈ 10.5 cm.

Answer: 10.5 cm.