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Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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14 Dec 2009, 02:58

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

I read somewhere there is a direct formula to solve this question..2) Angle between m and h hand is ( 11/2) *m – 30 * h can this be apply here? if yes should i take the value of h =12 ..taking this I am not getting the answer.. Please suggest

You just should substitute h=0 in it, not h=12.

General formula is:

\(|\frac{11}{2}m - 30h|\)

If the result is greater than 180 degrees, subtract it from 360 to get the included angle.

The above can be derived from the fact that: In 1 minute: Hour hand moves 0.5 degrees, Minute hand moves 6 degrees.

AND

In an hour: Hour hand moves 30 degrees, Minute hand moves 360 degrees.

What is the angle between the minute and the hour hand of the clock which shows 12:24?

A. 115 B. 120 C. 124 D. 130 E. 132

M12-26

What is the angle between the minute and the hour hand of the clock which shows 12:24?

A. 115 B. 120 C. 124 D. 130 E. 132

From the position of hands on 12:00 (both hands are vertical) hour hand moves \(\frac{360}{12*60}=0.5\) degrees in 1 minute and minute hand moves \(\frac{360}{60}=6\) degrees in 1 minute.

Hence at 12:24, after 24 minutes from 12:00, when both hands are vertical, hour hand will move \(24*0.5=12\) degrees from the vertical position and minute hand will move \(24*6=144\) degrees from vertical position.

So the angle between them will be \(144-12=132\) degrees.

Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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19 Oct 2015, 13:22

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Re: What is the angle between the minute and the hour hand of the clock wh [#permalink]

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19 Oct 2016, 21:05

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