Question 1179231: What is the measure of the obtuse angle formed by the hands of a clock at 10:25? Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
One way to solve this kind of problem -- the way I find "works" for me -- is to determine the "clockwise" angle each hand of the clock makes with 12:00.
The hour hand moves at 30 degrees per hour (360 degrees in 12 hours), or 0.5 degrees per minute. For your problem, determine how many degrees past 12:00 the hour hand has moved at 10:25 (10 hours at 30 degrees per hour, plus 25 minutes at 0.5 degrees per hour).
The minute hand moves 6 degrees per minute (360 degrees in 60 minutes). For your problem, determine how many degrees past 12:00 the minute hand has moved at 10:25.
Find the difference between those two angles. The problem asks for the obtuse angle (between 90 and 180 degrees); if that difference is greater than 180 degrees, then the number you want is 360 degrees minus that difference.
You can have the pleasure of doing the calculations and finding the answer by yourself.
