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# What is the angle between the minute and the hour hands of

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Joined: 12 Jun 2006
Posts: 536
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Kudos [?]: 29 [0], given: 1

What is the angle between the minute and the hour hands of [#permalink]  18 Feb 2007, 01:15
What is the angle between the minute and the hour hands of the clock which shows 12:24?

115
120
124
130
132

long hand at 30 minutes = 180 degrees, therefore, long hand at 24 minutes = 144 degrees. But, at 12:24 the short hand is not perfectly lined up with the 12. So I'm guessing 132 is the answer. Does anyone have a better (more precise) solution to this?
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 98 [0], given: 0

[#permalink]  18 Feb 2007, 03:19
(E) it is

To me, one way is to know the angle of the short and long legs relative to 12.

Your are right to use 30 .... It's avoid some calculations

Short leg
ShortLegAngle = (nb min) * 180/30 = 24*180/30 = 6*24 = 144

Long leg
Here, we have to convert the min in hour.
LongLegAngle = (nb hour + (nb min)/60) * 180/6 = (0 + 24/60) * 180/6 = 24*3/6 = 12

Thus, we have the answer :
Angle = ShortLegAngle - LongLegAngle = 132
[#permalink] 18 Feb 2007, 03:19
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# What is the angle between the minute and the hour hands of

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