How many degrees are there between clock hands at 3.15?
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With reference to 12, the hour hand moves 0.5 degrees per minute, so it traveled
[3(60)+15)(0.5)] = 97.5 degrees
With reference to 12, the minute hand moves 6 degrees per minute, so it traveled
15(6) = 90 degrees
The smaller angle formed is 97.5 - 90 = 7.5 degrees.