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 Y, 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

I don’t have the diagram mapping V to a vertex of the known triangle, so I need one clarifying fact: which angle in the 30–16–34 triangle does V correspond to?

Meanwhile, here are the possible sines from triangle UTS (UT = 30, TS = 16, US = 34, right angle at T):

- sin(angle at U) = opposite/hypotenuse = TS/US = 16/34 = 8/17.
- sin(angle at S) = opposite/hypotenuse = UT/US = 30/34 = 15/17.
- sin(angle at T) = 1 (T is the right angle).

Tell me which vertex V corresponds to (U, T, or S) or upload the diagram and I’ll give the exact value.