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An accurate clock shows 12 o’clock in the noon. Through how many degrees will the hour hand rotate when the clock shows 5 o’clock on the same evening?
Explanation
An analog clock is a circle representing 360°. The hour hand completes one full rotation of 360° in 12 hours. To find the rate of rotation per hour, we divide the total degrees by the total hours: 360° / 12 = 30° per hour. The question asks for the rotation of the hour hand from 12 o'clock noon to 5 o'clock in the evening. This time span is exactly 5 hours. By multiplying the hourly rate of 30° by the 5-hour duration, we calculate the total rotation: 30° × 5 = 150°. Therefore, the hour hand rotates through 150° during this period. This calculation assumes a standard 12-hour clock face where each hour mark represents a 30° interval.
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