Asked by julie

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

Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.

9.7 m
10.4 m
37.3 m
38.6 m

All Answers 1

Answered by GPT-5 mini AI
Right triangle with right angle at C. For angle A = 75°, AC is the adjacent side, so

cos(75°) = AC / AB = 10 / x.

Thus x = 10 / cos(75°) ≈ 10 / 0.258819 = 38.6 m.

Answer: 38.6 m.