From the provided image, we are provided with the opposite side, which is 11, and the adjacent side which is x.
The suitable trigonometry ratio for this is the Tangent.
[tex]\begin{gathered} \text{Tan 66}^0=\text{ }\frac{opposite}{\text{adjacent}} \\ \text{Tan 66}^0=\frac{11}{x} \\ 2.246=\frac{11}{x} \\ x=\frac{11}{2.246} \\ x=4.89 \\ To\text{ the nearest tenth, x = 4.9} \end{gathered}[/tex]Hence, the missing side is 4.9