Final answer:
The angle between the hour hand and the minute hand of a clock at 9:00 a.m. is 90 degrees.
Step-by-step explanation:
The student is asking about the angle between the hour hand and the minute hand when a clock shows 9:00 a.m. To find the angle, we should note that a clock is divided into 12 hours, and in one hour, the minute hand completes a full 360-degree rotation, while the hour hand moves 1/12 of the clock's face.
At 9:00 a.m., the hour hand is at the 9 and the minute hand is at the 12. Since each hour represents 30 degrees (360 degrees divided by 12 hours), the angle from the 12 to the 9 is 3 hours, or 3 x 30 degrees, which equals to 90 degrees. Therefore, the angle between the hour hand and the minute hand at 9:00 a.m. is 90 degrees.