Question

find the Sine of angle V

there are two similar right triangles, one has unknown lengths and angles which are classified as U, T, V, the other triangle has Line RQ which has a length of 65, Line QS which has a length of 97, and Line RS which has a length of 72

Angle V corresponds with angle Q

Answer 1

Since 65^2 + 72^2 = 4225 + 5184 = 9409 = 97^2, QS = 97 is the hypotenuse, so the right angle is at R. Angle Q's opposite side is RS = 72, so

sin(V) = sin(Q) = opposite/hypotenuse = 72/97.