Answer:
[tex] y = 9.1 [/tex]
Step-by-step explanation:
Use the Law of sines to find y in ∆WXY, given:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Therefore,
[tex] \frac{y}{sin(Y)} = \frac{x}{sin(X)} [/tex]
[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]
[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]
[tex] \frac{y}{0.961} = 9.434 [/tex]
Multiply both sides by 0.961 to solve for y
[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]
[tex] y = 9.434*0.961 [/tex]
[tex] y = 9.1 [/tex] (to nearest tenth)
