Answers

2015-05-03T18:13:40+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let us say  X minutes past 6 o clock, the hands are perpendicular.  X < 60 .

hours hand moves 360 deg. in 12 hours.
    =>  30 deg in 1 hour. => 1/2 deg in 1 minute
minutes hand  moves 360 deg  in 1 hour 
         => 6 deg. in 1 minute

the angle moved by hours hand in X minutes = X/2 deg.
the angle moved by minutes hand in X minutes = 6 X deg.

The difference must be  90 deg.  or  270 deg.
 
    6 X - X/2 = 90 deg.    => 11/2  X  = 90      =>  X = 180/11 = 16.36 min
                    
   6 X - X/2 = 270 deg    =>   X = 540/11 = 49.09 min

So  at  6 hrs 16.36 min  and  at  6 hours  49.09 min,  the hands are perpendicular.

1 5 1