Given Data

1. Clock time given: 3:30.
2. Hour hand value (H) = 3.
3. Minute hand value (M) = 30.

Question

What is the angle between the hour hand and the minute hand at 3:30?

Answer

75 degrees.

Solution

1. Use the clock angle formula: Angle = |30H - 5.5M|.
2. Substitute H = 3 and M = 30:
3. Angle = |30(3) - 5.5(30)|
4. Angle = |90 - 165|
5. Angle = |-75| = 75 degrees.
6. Therefore, the angle between the hands at 3:30 is 75 degrees.