Answer:
x=13.5
Step-by-step explanation:
You are on the right track with sin34/x=sin27/11 (remember you don't need all three angles/sides)
[tex]\frac{sin34}{x}[/tex] = [tex]\frac{sin27}{11}[/tex]
(sin27)(x)=6.15112193818
x=6.15112193818/0.45399049974
x=13.5490102584