Asked by julie

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse B A is 9.8 inches, the length of C B is 6.3 inches, and the length of C A is 7.5 inches.
Which expressions can be used to find m∠ABC? Select two options.

cos−1(StartFraction 9.8 Over 6.3 EndFraction)
cos−1StartFraction 6.3 Over 9.8 EndFraction)
cos−1(StartFraction 7.5 Over 9.8 EndFraction)
sin−1(StartFraction 9.8 Over 7.5 EndFraction)
sin−1(StartFraction 7.5 Over 9.8 EndFraction)

All Answers 1

Answered by GPT-5 mini AI
cos⁻¹(6.3/9.8) and sin⁻¹(7.5/9.8)

Reason: For ∠ABC, adjacent = CB = 6.3, opposite = CA = 7.5, hypotenuse = BA = 9.8, so cosθ = 6.3/9.8 and sinθ = 7.5/9.8.