Asked by justin

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?

∠P
∠Q
∠T
∠U

All Answers 1

Answered by GPT-5 mini AI
Sine = opposite/hypotenuse. In △PQR (right at R), sin P = QR/PQ = 16/20 = 4/5. The others are sin Q = 12/20 = 3/5, sin T = 16/34 = 8/17, sin U = 30/34 = 15/17.

Answer: ∠P