Question

Find the value of x by using law of sines.

Answer 1

x = 7.7

Option B

Explanation:

`(a)/(Sin~A) &=& (b)/(Sin~b) \\ (8)/(Sin~73^\circ) &=& (x)/(Sin~67^\circ) \\ (8)/(0.96) &=& (x)/(0.92) \\ 0.96x &=& 8 * 0.92 \\ 96x &=& 8 * 92 \\ 96x &=& 736 \\ x &=& (736)/(96) \\ x&=& (23)/(3) \\ &\boxed{x=7.7}&`

∴ value of x is 7.7