How many degrees does the hour hand of a clock turn in 5 minutes?

Options

A. `(1/2)^@`
B. `(3(1)/2)^@`
C. `5^@`
D. `(2(1)/2)^@`

Answer

To find out how many degrees the hour hand of a clock turns in 5 minutes, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Movement of the Hour Hand**:
- The hour hand of a clock completes a full circle (360 degrees) in 12 hours.

2. **Calculate Degrees per Hour**:
- To find out how many degrees the hour hand moves in one hour, we divide the total degrees of the circle by the number of hours:
\[ \text{Degrees per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \]

3. **Determine the Degrees per Minute**:
- Since there are 60 minutes in an hour, we can find out how many degrees the hour hand moves in one minute:
\[ \text{Degrees per minute} = \frac{30 \text{ degrees}}{60 \text{ minutes}} = 0.5 \text{ degrees per minute} \]

4. **Calculate the Degrees in 5 Minutes**:
- Now, to find out how many degrees the hour hand moves in 5 minutes, we multiply the degrees per minute by 5:
\[ \text{Degrees in 5 minutes} = 0.5 \text{ degrees per minute} \times 5 \text{ minutes} = 2.5 \text{ degrees} \]

5. **Final Answer**:
- Therefore, the hour hand of a clock turns **2.5 degrees** in 5 minutes.