Question

find the sine of angle V

there are two similar right triangles, one has unknown lengths and angles which are classified as W, X, and V, the other triangle has Line UT which has a length of
30 , Line TS which has a length of 16, and Line
US which has a length of 34

Answer 1

If the triangles are listed in corresponding order (W-X-V corresponds to U-T-S), then angle V corresponds to angle S. In triangle UTS the side opposite angle S is UT = 30 and the hypotenuse is US = 34, so

sin(V) = sin(S) = opposite/hypotenuse = 30/34 = 15/17 (≈ 0.8824).