Question

find the sine of angle X

there are two similar right triangles, one has unknown lengths and angles which are classified as W, Y, X the other triangle has Line VT which has a length of 17 , Line UT which has a length of 8, and Line VU which has a length of 15

Angle X corresponds with T

Answer 1

Triangle VUT is a 8–15–17 right triangle (8^2 + 15^2 = 17^2), so the hypotenuse is VT = 17 and the side opposite angle T is VU = 15. Since angle X corresponds to angle T,

sin X = sin(T) = opposite/hypotenuse = 15/17.