Question
What is the angle between the minute hand and the hour
hand at 02:22 hrs 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 02:22 hrs = (2 X 30 + 0.5 X 22) = 60 + 11 = 71° Similarly, the angle made by minute hand at 02:22 hrs = 22 X 6 = 132° So, the angle between the hour and minute hand at 02:22 hrs = 132° - 71° = 61°
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