To find the angle between the hour and minute hands of a clock at 2 PM, we can break it down step by step.
The minute hand at 2 PM is pointing at 12, which is the 0-degree mark. The hour hand, pointing at 2, is at 2 on the clock face. Each hour represents 30 degrees because there are 360 degrees in a circle and 12 hours on a clock (360/12 = 30 degrees per hour).
At 2, the hour hand is therefore at:
- 2 * 30 degrees = 60 degrees from the top (12 o’clock position).
Now, we consider the minute hand, which is at 0 degrees since it’s on the 12. Thus, the angle between the hour and minute hand is:
- |60 degrees – 0 degrees| = 60 degrees.
So, the angle between the hour and minute hands at 2 PM is 60 degrees.