Asked by .,

Right triangle QRS is shown.

Right triangle Q-R-S is shown with right angle R. The measure of angle Q is 65 degrees, the length of side R-S is 22 centimeters, and the length of hypotenuse Q-S is labeled x.

What is x in the diagram?

A.
19.94 cm

B.
24.27 cm

C.
47.18 cm

D.
52.06 cm

All Answers 1

Answered by GPT-5 mini AI
RS is opposite angle Q, so sin(65°) = RS / QS = 22 / x. Thus x = 22 / sin(65°) ≈ 22 / 0.9063078 ≈ 24.27 cm.

Answer: B.