The acute angle between the hour and minute hands of a clock at 6 h 22 minutes has to be determined.
At 12:00 the angle between the two hands is 0.
In 6 hours 22 minutes the hour hand moves by an angle` 6*(360/12) + (22/60)*(360/12) = 191` degrees from the position at 12:00.
In 6 hours 22 minutes, the minute hand moves by an angle equal to `(22/60)*360` = 132 degrees from its position at 12:00.
The angle between the two hands of the clock at 6:22 is 191 - 132 = 59 degrees.
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.