As we can see in the graph, the shorter leg is the side opposite the angle 30°, therefore we are going to find it with function tan(x)
[tex]\begin{gathered} \tan (x)=\frac{\text{Opposite Side (shorter leg)}}{\text{Adjacent Side(longer leg)}}=\frac{x}{9\text{ in}} \\ \tan (30)=\frac{x}{9} \\ \frac{\sqrt[]{3}}{3}=\frac{x}{9}\text{ ,Since }\tan (30)=\frac{\sqrt[]{3}}{3}\text{ } \\ \frac{\sqrt[]{3}}{3}\cdot9=x\text{ ,Isolating x} \\ 3\sqrt[]{3}=x\text{ ,Simplifying} \\ \text{Shorter side length is x=}3\sqrt[]{3}\text{ } \end{gathered}[/tex]
Answer is option D.
