Question

What is the angle between the hour and the minute hand when the time is 3:25?

• A. 40.5$^\circ$
• B. 47.5$^\circ$
• C. 35.5$^\circ$
• D. 38.5$^\circ$

Hint:

Use the formula \(\theta = |30H - 5.5M|\) for hour-minute angle problems. Always take the absolute value.

Answer 1

The Correct Option is B

Angle between the two hands is given by the formula: \[ \theta = \left| 30H - 5.5M \right| \] Where: \(H = 3\), \(M = 25\) Substitute values: \[ \theta = \left| 30 \times 3 - 5.5 \times 25 \right| = \left| 90 - 137.5 \right| = \boxed{47.5^\circ} \]