This is perfect! 30-60-90 triangles follow a specific ratio where the hypotenuse is twice as long as the short leg, and the long leg is [tex] \sqrt{3} [/tex] times as long as the short leg. Knowing this, you can divide 11[tex] \sqrt{3} [/tex] by [tex] \sqrt{3} [/tex] to get 11 as the short leg. Multiply 11 by 2 to get the hypotenuse.
Final answer - the hypotenuse is 22