To find the angle between the hour and minute hand at 3 PM, we can follow a simple calculation.
The minute hand moves 360 degrees in 60 minutes. This means that every minute, it moves:
360 degrees / 60 minutes = 6 degrees per minute
At 3 PM, the minute hand is pointing at the 12, which is at 0 degrees. The hour hand, on the other hand, moves 360 degrees in 12 hours:
360 degrees / 12 hours = 30 degrees per hour
At 3 PM, the hour hand is pointing at the 3. Since each hour is worth 30 degrees, the hour hand at 3 PM is at:
3 x 30 degrees = 90 degrees
Now we can calculate the angle between the hour hand and the minute hand:
Angle = |90 degrees – 0 degrees| = 90 degrees
Therefore, at 3 PM, the angle between the hour and minute hand is 90 degrees.