SOLUTION: Find the exact angle measure between the minute and the hour hands at 1:22 PM of a correct clock.

Question 629727: Find the exact angle measure between the minute and the hour hands at 1:22 PM of a correct clock.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I know that at exactly 1 PM the little hand is
on 1 and the big hand is on 12. That is an
angle of degrees
( every 5 minutes is 30 degrees )
---------------------------------
Then both hand start to move with the minute
hand moving faster. The minute hand makes
a full circle, or 360 degrees when the hour hand
only goes 30 degrees, so the minute hand
moves times faster.
----------------------------------
When the minute hand is at 22 minutes, that
means it has made
degrees of rotation.
----------------------------------
During that time, the little hand has moved
at 1/12 that speed. degrees
-----------------------------------
Subtract to find the angle between the hands
degrees

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