Angle described a minute hand of a wall clock from 8.00 AM to 8.45 AM will be-

Options

A. `180^(@)`
B. `210^(@)`
C. `120^(@)`
D. `270^(@)`

Answer

To find the angle described by the minute hand of a wall clock from 8:00 AM to 8:45 AM, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Position of the Minute Hand:**
- At 8:00 AM, the minute hand is at the 12 o'clock position (0 degrees).

2. **Identify the Final Position of the Minute Hand:**
- At 8:45 AM, the minute hand is at the 9 o'clock position (which is 270 degrees from the 12 o'clock position).

3. **Calculate the Angle Described:**
- The angle described by the minute hand can be calculated by finding the difference between the final and initial positions.
- Angle = Final Position - Initial Position
- Angle = 270 degrees - 0 degrees = 270 degrees

4. **Conclusion:**
- Therefore, the angle described by the minute hand from 8:00 AM to 8:45 AM is 270 degrees.