Respuesta :

Answer:

[tex] y = 9.1 [/tex]

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

[tex] \frac{x}{sin(X)} = \frac{y}{sin(Y)} [/tex]

[tex] \frac{8}{sin(58)} = \frac{y}{sin(106)} [/tex]

[tex] \frac{8}{0.848} = \frac{y}{0.961} [/tex]

Multiply both sides by 0.961 to solve for y

[tex] \frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961 [/tex]

[tex] \frac{8*0.961}{0.848} = y [/tex]

[tex] \frac{8*0.961}{0.848}*0.961 = y [/tex]

[tex] 9.07 = y [/tex]

[tex] y = 9.1 [/tex] (to the nearest tenth)

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