Question 629727
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 {{{ (5/60)*360 = 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 {{{ 360/30 = 12 }}} times faster.
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When the minute hand is at 22 minutes, that
means it has made {{{ (22/60)*360 = 132 }}}
degrees of rotation.
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During that time, the little hand has moved
at 1/12 that speed. {{{ (1/12)*132 = 11 }}} degrees
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Subtract to find the angle between the hands
{{{ 132 - 11 = 121 }}} degrees