To find the degree measure of the angle formed by moving clockwise from the position of 11:00 to the position of 4:00 on a clock, we first need to determine the positions of these times in degrees.
Each hour mark on a clock represents 30 degrees since: \[ \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \]
Now we can calculate the degree positions:
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11:00 is at: \[ 11 \times 30 = 330 \text{ degrees} \]
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4:00 is at: \[ 4 \times 30 = 120 \text{ degrees} \]
Next, we find the clockwise distance from 11:00 (330 degrees) to 4:00 (120 degrees). Since we want to move clockwise, we recognize that moving past 0 degrees to 360 degrees must be included in our calculation.
To find the angle moved clockwise, we subtract the smaller angle from the larger angle and account for the fact that we are passing 0 degrees: \[ \text{Angle} = (120 \text{ degrees} - 330 \text{ degrees}) + 360 \text{ degrees} \] This simplifies to: \[ \text{Angle} = 120 - 330 + 360 = 120 - 330 + 360 = 150 \text{ degrees} \]
Therefore, the degree measure of the angle formed moving clockwise from the 11:00 position to the 4:00 position is: \[ \boxed{150} \text{ degrees} \]
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