ANSWER
[tex]a=22\text{ inches}[/tex]
EXPLANATION
We want to find the length of side a.
To do that, we apply trigonometric ratios:
[tex]\sin (\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Therefore:
[tex]\begin{gathered} \sin (30)=\frac{a}{44} \\ \Rightarrow a=44\cdot\sin (30) \\ a=22\text{ inches} \end{gathered}[/tex]
That is the length of side a.
