We know that the proportion of the sides of a 30°-60°-90° triangle is:
The shorter leg is K, then:
[tex]K=9\sqrt[]{3}\text{ in}[/tex]Using this result, we can calculate the length of the longer leg:
[tex]\begin{gathered} \sqrt[]{3}K=\sqrt[]{3}\cdot9\cdot\sqrt[]{3}=9\cdot3 \\ \Rightarrow=27\text{ in} \end{gathered}[/tex]
