Answer Posted / clarity

First convert all to a common unit of time:
1 hour = 60 min
1 min = 1min
Next determine how long it takes each hand to go once
around the clock (i.e., 360 degrees)
Hour-hand = 12 hours = 720min (i.e., 12*60)
Minute-hand = 1 hour = 60min
Next determine how many degrees each hand moves per minute
Hour-hand = 360/720 = 0.5 degrees/min
Minute-hand = 360/60 = 6 degrees/min
Next determine the displacement of each hand from zero
degrees after 3 hours and 15 minutes (assuming that both
hands started at zero degrees (i.e. 12 o’clock))
3 hours and 15 minutes = 195 min
Hence
Hour-hand = 195 * 0.5 = 97.5degrees
Minute-hand = 15 * 6 = 90 degrees
**Note: remember that this is the displacement from 12
o’clock and the minute hand restart from 12 o’clock every
hour

Finally calculate the difference in degrees between the two
hands.
97.5 – 90 = 7.5 degrees

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