document.write( "Question 254248: What is the exact degree measure of the angle formed by the hands of a clock at 2:40? \n" ); document.write( "
Algebra.Com's Answer #186554 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the hour hand remained on the 2 for the entire hour, then the angle formed at 2:40 would be 180 degrees. But the hour hand takes an hour to go from 2 to 3. 40 minutes is 2/3 hour, so when the minute hand points to the 8, meaning 40 minutes after the hour, the hour hand will have moved 2/3 of the way from the 2 to the 3. Since there are 12 numbered divisions on the 360 degree clock face, the angular difference between the 2 and the 3 (or any other two adjaceent numbers) is 30 degrees. 2/3 of 30 degrees is 20 degrees. 180 degrees minus 20 degrees is 160 degrees.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |