SOLUTION: What time after 11 o'clock will the hands of the clock be at right angles for the 2nd time?

Question 780896: What time after 11 o'clock will the hands of the clock be at right angles for the 2nd time?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
At exactly 11 o'clock. the hands are
5 minutes apart. That is
of a full circle, and that is degrees
--------------------------
The minute hand rotates at a rate of
degrees / minute. or
degrees / minute
--------------------------
The hour hand rotates at a rate of
degrees/minute
degrees / minute
--------------------------
I want to find when the differences in the positions
of the hands is degrees, which is the
2nd time that they are degrees apart
( )
---------------------------
Let = time in minutes
For the minute hand:
position = ( degrees/min x minutes ) + initial difference
position =
--------------------------
For the hour hand:
position =
--------------------------
Let the difference = degees

The hands will be 90 degrees apart for
the 2nd time in 43 min 38.2 sec
---------------
Hope I got it- looks about right

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