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?

Using the degrees per hour method, the hour hand completes a full circle of 360 degrees in 12 hours, meaning it moves at 30 degrees per hour. The time elapsed from 8 o'clock in the morning to 2 o'clock in the afternoon is exactly 6 hours. Multiplying 6 hours by 30 degrees gives a total rotation of 180 degrees.

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