Solve for x? The hypotenuse is 8, the side opposite is not there, i need to find x which is the side adjacent. The acute angle, opposite?

cos32° = (adjacent side) / hypotenuse
cos32° = x/8
x = 8 cos32°
x = 6.78

The answer: b. 6.78

　
In a triangle, no angle is opposite another angle.
All angles are opposite a side.

From your description, since 32 is the only acute angle given, and since you describe x as the adjacent side, then:

cos(32) = adj/hyp = x/8
x = 8 * cos(32)
x = 6.78438476925

Answer is: b. 6.78