Question

Please answer this question now

Answer 1

Answer:

y = 9.1

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

$\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}$

$\frac{\text{SinW}}{\text{w}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinX}}{\text{x}}$

Since m∠W + m∠X + m∠Y = 180°

m∠W + 58° + 106° = 180°

m∠W = 180° - 164°

m∠W = 16°

$\frac{\text{Sin16}}{\text{w}}=\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}$

$\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}$

y = $\frac{8\times (\text{Sin106})}{\text{SIn58}}$

y = 9.068

y ≈ 9.1