The sides of a right triangle are related by trig functions of the acute angles. The relationships are described by the mnemonic SOH CAH TOA. The meaning of this is .. Sin = Opposite/Hypotenuse .. Cos = Adjacent/Hypotenuse .. Tan = Opposite/Adjacent
Here, you are given the adjacent side and the hypotenuse for the angle. This means you can use the relation .. Cos = Adjacent/Hypotenuse
Putting in the given information lets you find x. .. cos(22°) = x/11 .. 11*cos(22°) = x ≈ 10.199