You can solve this tricky question the lengthy way.

\((\sqrt{13})^2+x^2=5^2\)

Solve \(x=\sqrt{12}\)

Same for the other triangle

\((\sqrt{11})^2+y^2=5^2\)

Solve

\(y=\sqrt{14}\)


Or you can simply user the ration of the sides in a 30:60:90 triangle. This is the fastest way to solve

\(x:x\sqrt{3}:2x\)

We do know that 2x is 5 so \(2x=5; x=2.5\)

So our x is 2.5

Y instead is = to \(x\sqrt{3}\) in the ratio

The value is therefore \(2.5 \sqrt{3} \)

Clearly Y > X

The answer is B