document.write( "Question 1144105: What is the degree measure of the smallest angle between hour and minute hands of a clock at 11:10 pm.
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Algebra.Com's Answer #765093 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We will analyze what happens during the 10 minute interval from 11:00 to 11:10.\r\n" );
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document.write( "The minute hand moves 12 times as fast as the hour hand, which is to say that\r\n" );
document.write( "the hour hand moves only 1/12th as fast as the minute hand.\r\n" );
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document.write( "There are 12 numerals on a clock dial.  The whole clock dial is 360°.\r\n" );
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document.write( "Therefore the numerals on a clock dial are spaced 360°÷12 or 30° apart.\r\n" );
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document.write( "At exactly 11:00 the hour hand is on the 11 and the minute hand is on the 12.\r\n" );
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document.write( "At exactly 11:10 the minute hand is on the 2.  It has moved through 60° during\r\n" );
document.write( "the 10 minutes from 11:00 to 11:10\r\n" );
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document.write( "The 11 numeral and the 2 numeral are 90° apart.\r\n" );
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document.write( "If the hour hand (for some strange reason!) had not moved during the 10 minute\r\n" );
document.write( "period, then at 11:10 the hands would be 90° apart.  The answer would be 90°.\r\n" );
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document.write( "However the hour hand has moved 1/12 as much as the minute hand has moved.\r\n" );
document.write( "The minute hand has moved 60° and the hour hand has moved 1/12 of 60° or 5°,\r\n" );
document.write( "so the hands are 90°-5° or 85° apart at 11:10.\r\n" );
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document.write( "Answer: 85°\r\n" );
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document.write( "Edwin
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