Question

Find the value of x by using law of sines.

Answer 1

Answer:

x = 7.7

Option B

Step-by-step explanation:

$\frac{a}{Sin~A} &=& \frac{b}{Sin~b} \\ \frac{8}{Sin~73^\circ} &=& \frac{x}{Sin~67^\circ} \\ \frac{8}{0.96} &=& \frac{x}{0.92} \\ 0.96x &=& 8 \times 0.92 \\ 96x &=& 8 \times 92 \\ 96x &=& 736 \\ x &=& \frac{736}{96} \\ x&=& \frac{23}{3} \\ &\boxed{x=7.7}&$

∴ value of x is 7.7