Answer:
43.1
Explanation:
We can figure this out by using a bit of simple trigonometry
Using the available values we know we have to figure out x using cos because it includes the adjacent and hypotenuse values.
"Soh Cah Toa" 
Cos(x) = Adjacent / Hypotenuse
Cos(x) = 8/11 
Cos(x) = 0.73
Using 
 we can figure out x from the side length
 we can figure out x from the side length
x = 
 (0.73)
(0.73)
x = 43.1 degrees (rounded)