Answer:
x = 14.7
Step-by-step explanation:
Using the sine rule
[tex]\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}[/tex]
Substitute the given values.
[tex]\frac{7}{sin(20)} = \frac{x}{sin(46)}[/tex]
Rearrange the equation to get x on it's own.
[tex]\frac{7sin(46)}{sin(20)} = x[/tex]
x = 14.72246211
x = 14.7 (1dp)
