A clock reads 3:15. What is the angle between the hour hand and the minute hand?0 degrees30 degrees7.5 degrees15 degrees

At 3:15, the minute hand is at the 3, but the hour hand is 1/4 of the way between the 3 and the 4.

Here's how you can calculate it:

1. At 3:00, the hands are exactly on top of each other, so the angle is 0 degrees.
2. Every minute, the minute hand moves 360/60 = 6 degrees (since there are 360 degrees in a full circle and 60 minutes in an hour).
3. Every minute, the hour hand moves 360/12/60 = 0.5 degrees (since there are 360 degrees in a full circle, 12 hours on the clock, and 60 minutes in an hour).
4. At 3:15, the minute hand has moved 15*6 = 90 degrees from the top of the clock.
5. In the same 15 minutes, the hour hand has moved 15*0.5 = 7.5 degrees.
6. So, the angle between the hour hand and the minute hand at 3:15 is 90 - 7.5 = 82.5 degrees.

None of the options provided are correct. The correct answer is 82.5 degrees.