Answer:
x = 8.4
Explanation:
In a right triangle, an angle, the length of its adjacent side and the length of the hypotenuse can be related by the cosine. 
In this question:
Angle of 40ΒΊ.
Adjacent side of x, hypotenuse of 11. So

Using a calculator, we have that 
 . So
. So

The answer is x = 8.4