If a clock started at noon, then the angle traversed by the hour hand at 5.45 Pm will be:

  1. 112.50
  2.  1200
  3.  172.50
  4.  None of these
Monis Rasool Professor Asked on 25th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4)  172.5o

    Explanation:-
    Angle traced by hour hand in 12 hrs = 360o

    Therefore, angle traced by hour hand in 5 hours 45 minutes = 23/4 hrs

    = 360 x 23 / 12 x 4
    = 30 x 23/4
    = 15 x 23/2
    = 345/2
    = 172.5o

    Then, the angle traversed by hour hand at 5.45 PM will be  172.5o.

    Hence, the answer is (4)  172.5o. 

    Anurag Mishra Professor Answered on 25th October 2015.
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