document.write( "Question 603010: Determine the smaller angle between the hands of a clock at 12:20. Show or explain how you got your answer. \n" ); document.write( "

Algebra.Com's Answer #380532 by AnlytcPhil(1806) $\"\"$ $\"About$

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Determine the smaller angle between the hands of a clock at 12:20. Show or explain how you got your answer.
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document.write( "Here's another approach which amounts to the same thing as the other\r\n" );
document.write( "tutor's explanation, but may be easier for some people to inderstand:\r\n" );
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document.write( "The hour hand makes 360° in 12 hours, so\r\n" );
document.write( "the angle speed of the hour hand is 360/12 or 30 degrees/hour.\r\n" );
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document.write( "The minute hand makes 360° in 1 hour, so\r\n" );
document.write( "the angle speed of the minute hand is 360 degrees/hour. \r\n" );
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document.write( "The hands were together at 12:00.  12:20 is 20 min. or 1/3 hr.\r\n" );
document.write( "later.  So in that 20 minutes or 1/3 hr., \r\n" );
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document.write( "the hour hand has swept through (1/3 hr)×(30degrees/hr) or 10 degrees,\r\n" );
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document.write( "and\r\n" );
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document.write( "the minute hand has swept through (1/3 hr)×(360degrees/hr) or 120 degrees.\r\n" );
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document.write( "Therefore the angle between them at 12:20 is 120°-10° or 110°\r\n" );
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document.write( "Edwin

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