What is the value of x ??

Answer:
24
Step-by-step explanation:
The cosine of an acute angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.
[tex]\tt \cos A=\cfrac{x}{AC} \ \ \Rightarrow \ \ x=AC\cdot\cos A=24\sqrt{2}\cdot\cfrac{\sqrt{2}}{2}=24 \ units[/tex]