document.write( "Question 1188816: Determine the smaller angle (Ac) formed by the hands of the clock at 3:30 PM. Give the angle coterminal with angle Ac such that Ac is greater than or equal to 360 degrees and smaller than 720 degrees. \n" ); document.write( "
Algebra.Com's Answer #819998 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are many ways to set up this kind of problem for solving. Here is the way I like best.... \n" ); document.write( "I measure the number of degrees past \"noon\" that each of the hands of the clock has moved; then the angle between the hands is the difference of those two angles. \n" ); document.write( "At 3:30, the hour hand has moved 3.5 hours past noon at 30 degrees per hour (360 degrees in 12 hours), so it is 105 degrees past noon. \n" ); document.write( "At 3:30, the minute hand has clearly moved 180 degrees past noon. However, to demonstrate the general solution method, it has moved for 30 minutes at 6 degrees per minute (360 degrees in 60 minutes), so it is 180 degrees past noon. \n" ); document.write( "So the angle between the two hands is 180-105 = 75 degrees. \n" ); document.write( " \n" ); document.write( " |