Question

Please answer this question

Answer 1

`y = 9.1`

Explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

`(y)/(sin(Y)) = (x)/(sin(X))`

`(y)/(sin(106)) = (8)/(sin(58))`

`(y)/(0.961) = (8)/(0.848)`

`(y)/(0.961) = 9.434`

Multiply both sides by 0.961 to solve for y

`(y*0.961)/(0.961) = 9.434*0.961`

`y = 9.434*0.961`

`y = 9.1` (to nearest tenth)