Question

Please answer this question

Answer 1

Answer:

$y = 9.1$

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,

$\frac{y}{sin(Y)} = \frac{x}{sin(X)}$

$\frac{y}{sin(106)} = \frac{8}{sin(58)}$

$\frac{y}{0.961} = \frac{8}{0.848}$

$\frac{y}{0.961} = 9.434$

Multiply both sides by 0.961 to solve for y

$\frac{y*0.961}{0.961} = 9.434*0.961$

$y = 9.434*0.961$

$y = 9.1$ (to nearest tenth)