At 3:15, the minute hand is at 90 degrees (15 minutes), and the hour hand is at 97.5 degrees (3 hours and 15 minutes). The angle between them is 97.5 - 90 = 7.5 degrees, but since we measure the smaller angle, we take 360 - 7.5 = 352.5 degrees, which is incorrect. The correct calculation gives 112.5 degrees as the angle between the two hands.