Question

The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x =
`(15)/(17)` . Find the value of cos y.

Answer 1

Explanation:

`\sin(x) = (15)/(17) = (23 + c)/(34) \\ 34 * 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7`

`\sin (y) = (7)/(25) \\ y = 16.26 \\ \cos(16.26) = ( \alpha )/(25) \\ 0.96 = ( \alpha )/(25) \\ \alpha = 24`

`\cos(y) = (24)/(25)`