Question

What is the angle between the hour hand and the minute hand when the time is 7:30?

• A. 23 degrees
• B. 43 degrees
• C. 45 degrees
• D. 54 degrees

Hint:

When calculating the angle between the clock hands, remember the minute hand moves 6 degrees per minute and the hour hand moves 0.5 degrees per minute.

Answer 1

The Correct Option is C

To find the angle between the hour and minute hands, we use the formula: \[ \text{Angle} = \left| 30H - \frac{11}{2}M \right| \] where \( H \) is the hour and \( M \) is the minute. For 7:30: - \( H = 7 \) - \( M = 30 \) Substituting into the formula: \[ \text{Angle} = \left| 30 \times 7 - \frac{11}{2} \times 30 \right| = \left| 210 - 165 \right| = \left| 45 \right| \] Thus, the angle between the hour and minute hands at 7:30 is **45 degrees**.