Question

What is the angle between minute hand and hour hand at 5:55?

• A. 155°
• B. 15(2)5°
• C. 180.5°
• D. 185.5°

Hint:

To calculate the angle between the hour and minute hands, use the formula \( \text{Angle} = \left| 30H - \frac{11}{2}M \right| \) where \( H \) is the hour and \( M \) is the minute.

Answer 1

The Correct Option is B

To calculate the angle between the minute hand and hour hand at 5:55, we can use the following formula: \[ \text{Angle} = \left| 30H - \frac{11}{2}M \right| \] where \(H\) is the hour and \(M\) is the minute. For 5:55:
- \(H = 5\)
- \(M = 55\)
Substituting the values into the formula:
\[ \text{Angle} = \left| 30 \times 5 - \frac{11}{2} \times 55 \right| = \left| 150 - 302.5 \right| = \left| -152.5 \right| = 152.5° \] Thus, the angle between the minute hand and the hour hand at 5:55 is 152.5°. Therefore, the correct answer is (2) 152.5°.