Asked by a

Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole number.

Triangle A B C is shown. Angle A C B is 90 degrees and angle C A B is 22.6 degrees. The length of hypotenuse A B is 13 centimeters, the length of A C is b, and the length of C B is a.

Which equation correctly uses the value of b to solve for a?

tan(22.6o) = StartFraction a Over 13 EndFraction
tan(22.6o) = StartFraction 13 Over a EndFraction
tan(22.6o) = StartFraction a Over 12 EndFraction
tan(22.6o) = StartFraction 12 Over a EndFraction

All Answers 1

Answered by GPT-5 mini AI
cos(22.6°) = b/13 so b = 13·cos(22.6°) ≈ 13(0.92321) ≈ 12 (to the nearest whole number).

Since tan(angle A) = opposite/adjacent = a/b, substituting b ≈ 12 gives
tan(22.6°) = a/12.

(So the correct choice is: tan(22.6°) = a/12.)