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?

Question

(1 point)
Responses

120
120

150
150

330
330

240

Answer 1

To find the angle formed by moving from the position of 11:00 to the position of 4:00 on a clock, we first need to determine the degree measure associated with each hour on the clock.

Each hour represents an angle of 30 degrees because:

\[ \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour}. \]

Now, let's calculate the positions of 11:00 and 4:00:

• The position for 11:00 is: \[ 11 \text{ hours} \times 30 \text{ degrees/hour} = 330 \text{ degrees}. \]
• The position for 4:00 is: \[ 4 \text{ hours} \times 30 \text{ degrees/hour} = 120 \text{ degrees}. \]

Next, we calculate the clockwise angle from 11:00 to 4:00:

• Starting from 330 degrees and moving to 120 degrees:

Since 330 degrees is greater than 120 degrees, we will wrap around:

\[ \text{Clockwise angle} = 360 \text{ degrees} - 330 \text{ degrees} + 120 \text{ degrees} = 30 \text{ degrees} + 120 \text{ degrees} = 150 \text{ degrees}. \]

Thus, the degree measure of the angle formed moving clockwise is 150 degrees.

So, the correct response is:

150.