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   ANALOG CLOCK I
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   Author  Topic: ANALOG CLOCK I  (Read 3728 times)
JC...
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ANALOG CLOCK I  
« on: Aug 19th, 2006, 8:55am »
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PUZZLE:
ANALOG CLOCK I:
An analog clock reads 3:15. What is the angle between the minute hand and hour hand?
 
PROOF:
1.) The face of a clock (a full circle) is 360°
2.) There are 12 hours on the face of a clock
3.)  -Therefore, each hour takes up 30°
4.) Each such hour has 60 minutes
5.)  -Therefore, each minute is 0.5°
6.) At 3:15, the minute-hand sits exactly on the 3's position of the clock's face
7.) At 3:15, the hour-hand sits exactly 15 minutes past the 3's position
8.)  -Therefore, the hour-hand is 7.5° (i.e., 15 x 0.5°) beyond the minute-hand's position.
 
ANSWER:
The angle formed between the hour and minute hands at 3:15, on an analog clock, is 7.5°.
 
Yes, definitely "easy".   Grin
 
Regards,
   
JC... JC... JC... JC... JC... JC... JC... JC... JC... JC... JC... JC... JC... JC...
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xlaurenee
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Re: ANALOG CLOCK I  
« Reply #1 on: Nov 4th, 2007, 7:48am »
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um, its an analogue clock.
doesnt that mean its digital?
therefore no hands or face with which to measure an angle..?
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Re: ANALOG CLOCK I  
« Reply #2 on: Nov 4th, 2007, 8:17am »
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on Nov 4th, 2007, 7:48am, xlaurenee wrote:
um, its an analogue clock.
doesnt that mean its digital?
Analog means it's not digital.
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Wikipedia, Google, Mathworld, Integer sequence DB
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