Question
What is the angle between the minute hand and the hour
hand at 11:20hrs when taken in clockwise direction from the minute hand?Solution
The logic followed here is as follows, Hour hand makes an angle of 30β° in one hour and an angle of 0.5β° in one minute. Similarly, minute hand makes an angle of 6β° in one minute. So, angle made by hour hand at 11:20hrs = (11 X 30 + 0.5 X 20) = 330 + 10 = 340β° Similarly, the angle made by minute hand at 11:20hrs = 20 X 6 = 120β° So, the angle between the hour and minute hand at 11:20hrs = 340β° - 120β° = 220β°.
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