Find the angle between the hour hand and the minute hand of a clock when the time is 3:25 ?47.8°47.5°46.5°37.5°

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. First, calculate the position of the hour hand. At 3:00, the hour hand is at 90 degrees (each hour corresponds to 30 degrees, so 3 hours is 330 = 90 degrees). By 3:25, the hour hand has moved a bit further. Since it moves 0.5 degrees per minute, it has moved an additional 0.525 = 12.5 degrees. So the total position of the hour hand is 90 + 12.5 = 102.5 degrees.

2. Next, calculate the position of the minute hand. Each minute corresponds to 6 degrees (360 degrees / 60 minutes = 6 degrees per minute), so at 25 minutes, the minute hand is at 25*6 = 150 degrees.

3. Finally, subtract the smaller angle from the larger one to find the angle between the two hands: 150 - 102.5 = 47.5 degrees.

So, the angle between the hour hand and the minute hand at 3:25 is 47.5 degrees.