Question

A circle measures 360 degrees. If this circle were marked with numbers like a clock, every number would represent 30 degrees farther from 0 and closer to 360 degrees. If an angle marker typically found at 11:00 were to rotate to the place normally marked for 4:00, what is the degree measure of the angle formed moving clockwise? (1 point

Answer 1

To find the degree measure of the angle from the 11:00 position to the 4:00 position on a clock, we can first determine the degree positions of each.

1. Each hour on a clock represents 30 degrees since 360 degrees ÷ 12 hours = 30 degrees per hour.
2. The position for 11:00 is calculated as follows: \[ 11 \times 30 = 330 \text{ degrees} \]
3. The position for 4:00 is calculated similarly: \[ 4 \times 30 = 120 \text{ degrees} \]

Next, we calculate the angle moving clockwise from the 11:00 position (330 degrees) to the 4:00 position (120 degrees):

• To find the clockwise angle, we can subtract the smaller angle from the larger angle and add 360 to ensure it's in the positive range: \[ 120 - 330 = -210 \text{ degrees} \] Since we want a positive angle in the clockwise direction, we convert the negative value: \[ -210 + 360 = 150 \text{ degrees} \]

Thus, the degree measure of the angle formed moving clockwise from the 11:00 position to the 4:00 position is: \[ \boxed{150} \] degrees.