A restaurant occupying the top floor of a skyscaper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 p.m. Looking due north. At 7:45 p.m. they had ratated `180^(@)` to a view that was due south. At this rate, how many degrees will degrees will be restaurent rotate in 1 hour?

Options

A. `90^(@)`
B. `180^(@)`
C. `240^(@)`
D. `270^(@)`

Answer

To solve the problem of how many degrees the restaurant will rotate in one hour, we can follow these steps:

### Step 1: Determine the rotation in 45 minutes
The restaurant rotates 180 degrees from 7:00 p.m. to 7:45 p.m. This means in 45 minutes, the restaurant has completed a rotation of 180 degrees.

### Step 2: Calculate the rotation per minute
To find out how many degrees the restaurant rotates in one minute, we divide the total rotation by the number of minutes:
\[ \text{Rotation per minute} = \frac{180 \text{ degrees}}{45 \text{ minutes}} = 4 \text{ degrees per minute} \]

### Step 3: Calculate the rotation in one hour
Since there are 60 minutes in one hour, we can find the total rotation in one hour by multiplying the rotation per minute by 60:
\[ \text{Rotation in one hour} = 4 \text{ degrees per minute} \times 60 \text{ minutes} = 240 \text{ degrees} \]

### Conclusion
Thus, the restaurant will rotate **240 degrees** in one hour.

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