1. **State the problem:** We need to find how many degrees the minute hand of a clock moves from 11:10 to 11:45. 2. **Formula and rules:** The minute hand completes a full circle (360 degrees) in 60 minutes. 3. **Calculate degrees per minute:** $$\text{Degrees per minute} = \frac{360}{60} = 6$$ degrees per minute. 4. **Calculate the time difference:** From 11:10 to 11:45 is $45 - 10 = 35$ minutes. 5. **Calculate the total degrees moved:** $$\text{Degrees moved} = 35 \times 6 = 210$$ degrees. **Final answer:** The minute hand moves through **210 degrees** from 11:10 to 11:45.