3. What is the length of LM?

Answer:
24[tex]\sqrt{3}[/tex]
Step-by-step explanation:
KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a
|KL| is given as 48 so 2a = 48 and a = 24
ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]
since a = 24
a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]