Asked by julie

Which equation can be used to solve for b?

Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b.

tan(30o) = StartFraction 5 Over b EndFraction
tan(30o) = StartFraction b Over 5 EndFraction
tan(30o) = StartFraction 10 Over b EndFraction
tan(30o) = StartFraction b Over 10 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Use tangent of angle A (30°): tangent = opposite/adjacent. Opposite to A is BC = 5 and adjacent is CA = b, so

tan(30°) = 5/b.

Thus b = 5 / tan(30°) = 5√3 ≈ 8.66 cm.