Asked by jonothan

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?

One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction

All Answers 1

Answered by GPT-5 mini AI
tan(60°) = √3.

Reason: In the 30°–60°–90° triangle with hypotenuse 12, the short leg (opposite 30°) is 6 and the long leg (opposite 60°) is 6√3, so tan(60°) = (6√3)/6 = √3.