document.write( "Question 276953: Exactly how many degrees are there between the hands of a clock at 3:40 pm \n" ); document.write( "
Algebra.Com's Answer #206833 by Alan3354(69443)\"\" \"About 
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Exactly how many degrees are there between the hands of a clock at 3:40 pm
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\n" ); document.write( "Measuring clockwise (what else?) from the 12, the minute hand is at 240 degs.
\n" ); document.write( "The hour hand is at 360*(3 2/3)/12 = 30*(11/3) = 110 degs.
\n" ); document.write( "The angle between them is 240 - 110 = 130 degrees.
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\n" ); document.write( "Here's a simpler method.
\n" ); document.write( "The minute hand is 2/3 of a revolution = 240 degs.
\n" ); document.write( "The hour hand is at 3, = 90 degs + 2/3 of 30 degs. The hour hand moves 30 degs/hr, so it's 20 degs past the 3.
\n" ); document.write( "--> the hour hand is at 110 degs
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\n" ); document.write( "General solution:
\n" ); document.write( "The angle clockwise from the hour hand to the minute hand is:
\n" ); document.write( "360*min/60 - (hr*30 + 30*(min/60))
\n" ); document.write( "= 11*min/2 - 30*hr
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