The position of the diver in relation to the surface of the water 8 minutes after beginning to rise can be calculated as follows:
The diver was at a depth of 80 feet below the surface initially. After 8 minutes of rising, the diver has come up to the surface by 3 x 8 = 24 feet. So, the diver's position in relation to the surface of the water is:
80 - 24 = 56 feet below the surface.
Therefore, the integer that describes the position of the diver in relation to the surface of the water 8 minutes after beginning to rise is A. -56.