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

Sure, here's how you can calculate the angle between the hour and minute hand at 3:25.

Step 1: At 12:00, both the hour and minute hands are at 12. So, they are 0 degrees apart.

Step 2: Every minute, the minute hand moves 360/60 = 6 degrees.

Step 3: Every hour (or 60 minutes), the hour hand moves 360/12 = 30 degrees. Therefore, every minute, the hour hand moves 30/60 = 0.5 degrees.

Step 4: At 3:25, the minute hand is at 25 * 6 = 150 degrees from the top of the clock (12:00 position).

Step 5: At 3:25, the hour hand is at 3 * 30 (because it's past 3 hours) + 25 * 0.5 (because it's 25 minutes into the 4th hour) = 95 degrees from the top of the clock.

Step 6: The angle between the hour and minute hand is therefore |150 - 95| = 55 degrees.