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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 10.3 centimeters, the length of C B is 10 centimeters, and the length of A C is 2.4 centimeters. Angle A B C is x.
Which equation can be used to solve for the measure of angle ABC?

tan(x) = StartFraction 2.4 Over 10 EndFraction
tan(x) = StartFraction 10 Over 2.4 EndFraction
sin(x) = StartFraction 10 Over 10.3 EndFraction
sin(x) = StartFraction 10.3 Over 10 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Angle ABC is at B. In the right triangle (right angle at C) the side opposite angle B is AC = 2.4 and the side adjacent to angle B is BC = 10. Tangent = opposite/adjacent, so

tan(x) = 2.4/10.