SOLUTION: pls help me to answer: find the angle of the clock between 1:48 am

Question 890669: pls help me to answer: find the angle of the clock between 1:48 am
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Since both the minute hand and the our hand are
moving all the time, their rates of motion have to
be taking into account.
-------------------------
One full circle is minutes
The circular rate of motion of the minute hand is
min / hr
-------------------
The circular rate of motion of the hour hand is
min / hr ( from 12 to 1 AM in one hour )
--------------------
At 1 AM, the fraction of the circle between the hands is

---------------------
While the minute hand goes from the 12 position to
minutes after, the fraction of the circle is:
( in terms of a 60 minute full circle )
---------------------
Since the hour hand travels at of
the rate of the minute hand,
It's angle traveled is:

of a full circle
------------------------------
The angle between the hand, in terms of a full hour is:
( minus the initial gap ) + ( how far the minute hand goes ) - ( minus how far the hour hand goes )

This is 49 minutes out of 60 minutes, or, in degrees:

The answer is 234 degrees
You might want a 2nd opinion, too. I could
*easily * have made a mistake

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