Andrew M. answered 04/14/16
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
I'm not sure what your question is since you have not
asked us to determine any information.... However,
I think you may be trying to determine at what angle
the clock would be rotated to have the hour hand
pointed at what would normally be 3:15 when it is
actually 3:00
For a basic round wall clock the 360 degree circle is
divided up into 12 even sections. To find out how
many degrees each of those sections is
divide 360 by 12.
360/12 = 30 degrees per section.
15 minutes is 15/60 of an hour or 1/4 of an hour.
To go from 3:00 to 3:15 the hour hand would move
1/4 of the distance (30 degrees) from the 3 to the 4
on the clock face. 1/4 of 30 = 30/4 = 7.5 degrees.
Since the hour hand moves "clockwise" as time goes
forward the clock was placed on the table with a
clockwise rotation of 7.5 degrees.