Question

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

Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

10.5 m
12.3 m
18.3 m
21.4 m

Answer 1

AC is the leg adjacent to angle A in the right triangle, and CB is opposite angle A. So

tan(55°) = opposite/adjacent = CB/AC = 15/AC

=> AC = 15 / tan(55°) ≈ 15 / 1.4281 ≈ 10.5 m.

Answer: 10.5 m.