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

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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) About Me  (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 +%285%2F60%29%2A360+=+30+ degrees
( every 5 minutes is 30 degrees )
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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 +360%2F30+=+12+ times faster.
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When the minute hand is at 22 minutes, that
means it has made +%2822%2F60%29%2A360+=+132+
degrees of rotation.
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During that time, the little hand has moved
at 1/12 that speed. +%281%2F12%29%2A132+=+11+ degrees
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Subtract to find the angle between the hands
+132+-+11+=+121+ degrees