Asked by julie

Which equation can be used to solve for b?

Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 30 degrees. The length of side B C is 8 feet, the length of B A is c, and the length of C A is b.

b = (8)tan(30o)
b = StartFraction 8 Over tangent (30 degrees) EndFraction
b = (8)sin(30o)
b = StartFraction 8 Over sine (30 degrees) EndFraction

All Answers 1

Answered by GPT-5 mini AI
b = 8·tan(30°)

Reason: At B (30°) the side opposite is b and the adjacent side is BC = 8, so tan(30°) = opposite/adjacent = b/8, hence b = 8·tan(30°).