Answer: [tex]x=6\sqrt{3}, y=12[/tex]
Step-by-step explanation:
In a 30-60-90 triangle, the length of the side opposite the 60-degree angle is [tex]\sqrt{3}[/tex] times the length of the side opposite the 30-degree angle, so [tex]\boxed{x=6\sqrt{3}}[/tex].
Also, the length of the side opposite the 90-degree angle is twice the length of the side opposite the 30-degree angle, so [tex]\boxed{y=12}[/tex]
