Question

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answer 1

`\cos(W) = (9)/(41)`

Explanation:

Given

`\angle Y = 90^o`

`YX = 40; XW = 41; WY = 9`

Required

Determine
`\cos(W)`

The question is illustrated with the attached image.

So:

`\cos(W) = (Adajacent)/(Hypotenuse)`

`\cos(W) = (WY)/(XW)`

This gives:

`\cos(W) = (9)/(41)`