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)![]() ![]() You can put this solution on YOUR website! Exactly how many degrees are there between the hands of a clock at 3:40 pm \n" ); document.write( "---------------------------- \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. \n" ); document.write( "------------------- \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 \n" ); document.write( "--------------------------------- \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 \n" ); document.write( " \n" ); document.write( " |