Question 63

What will be the acute angle between the hour-hand and the minute-hand at 2:13 p.m?

Solution

angle covered by minute hand in 1 minute is 6degree and angle covered by hour hand in 1minute is $$\frac {1}{2}$$ degree.

So, angle covered by minute hand at 13minutes = $$13\times 6degree$$ = 78degree.

Hence, at 2hours 13minutes = 133 x $$\frac {1}{2}$$degree = 66degree.

Hence, the angle between the hour and minute hand at 2.13PM = 78degree - 66degree = $$12^\circ$$

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