What is the angle described by the minute hand between `4:00` pm and `4:25` pm?

Options

A. `120^@`
B. `150^@`
C. `90^@`
D. `135^@`

Answer

To find the angle described by the minute hand between 4:00 PM and 4:25 PM, we can follow these steps:

### Step 1: Understand the movement of the minute hand
The minute hand of a clock moves 360 degrees in 60 minutes. This means that for every minute, the minute hand moves:

\[ \text{Degrees per minute} = \frac{360 \text{ degrees}}{60 \text{ minutes}} = 6 \text{ degrees per minute} \]

### Step 2: Calculate the total time in minutes
From 4:00 PM to 4:25 PM, the total time is:

\[ 25 \text{ minutes} \]

### Step 3: Calculate the angle covered in 25 minutes
Now, we can calculate the angle covered by the minute hand in 25 minutes. Since the minute hand moves 6 degrees for each minute, we multiply the degrees per minute by the total minutes:

\[ \text{Total angle} = 25 \text{ minutes} \times 6 \text{ degrees per minute} = 150 \text{ degrees} \]

### Conclusion
The angle described by the minute hand between 4:00 PM and 4:25 PM is:

\[ \boxed{150 \text{ degrees}} \]

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