An accurate clock shows 8 O’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 O’clock in the afternoon?
- A150°
- B144°
- C168°
- D180°Correct
Explanation
To find the rotation of the hour hand, follow these steps:
-
Calculate the time duration: From 8 AM to 2 PM, the total time elapsed is 6 hours.
-
Determine the rate of rotation: A clock is a circle of 360 degrees. The hour hand completes one full rotation in 12 hours. Therefore, in one hour, the hour hand rotates by 360 divided by 12, which equals 30 degrees.
-
Calculate the total rotation: For a duration of 6 hours, the rotation is 6 multiplied by 30 degrees, which equals 180 degrees.
Thus, the hour hand rotates through 180 degrees. The correct option is D.
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