An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Question
An accurate clock shows 8 o'clock in the morning.
Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Solution
The hour hand of a clock moves 360° in 12 hours.
Step 1: Calculate the degree of rotation per hour 360°/12 hours = 30° per hour
Step 2: Calculate the number of hours from 8 o'clock in the morning to 2 o'clock in the afternoon 2 PM - 8 AM = 6 hours
Step 3: Multiply the number of hours by the degree of rotation per hour 6 hours * 30° per hour = 180°
So, the hour hand will rotate through 180 degrees from 8 o'clock in the morning to 2 o'clock in the afternoon.
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