HELP PLS 5. Find the missing side lengths. Leave the answers as radicals in simplest form.

Answer:
[tex]a=22, b=11\sqrt{3}[/tex]
Step-by-step explanation:
Given a 30-60-90 triangle, the shortest side is always opposite of the smallest angle, in this case 11 is opposite the 30° angle. The largest side of a 30-60-90 triangle will always be twice the smallest, giving [tex]a[/tex] a measure of [tex]22[/tex]. To get the side across the 60° angle we multiply the smallest side by the square root of 3. Meaning [tex]b=11\sqrt{3}[/tex]