Question
What is the angle between the minute hand and the hour
hand at 3:24hrs when taken in anticlockwise direction from the minute hand?Solution
The logic followed here is as follows, Hour hand makes an angle of 30° in one hour and an angle of 0.5° in one minute. Similarly, minute hand makes an angle of 6° in one minute. So, angle made by hour hand at 3:24hrs = (3 X 30 + 0.5 X 24) = 90 + 12 = 102° Similarly, the angle made by minute hand at 3:24hrs = 24 X 6 = 144° So, the angle between the hour and minute hand at 3:24hrs = 144° - 102° = 42°
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