Find the measure of angles formed between the minute hand and hour hand of the clock at 2.30 P.M. ?

2
by arpitmom

2014-12-27T04:13:29+05:30

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Hours hand moves 360 deg in 12 hours
so  30 degrees in 1 hour
so  15 deg in 1/2 hour
Hours hand moves  30 + 30 + 15 deg = 75 deg in  2 hours and a half.

Minutes hand  moves 360 / 2 = 180 degrees from number 12,  in 30 minutes.

The angle between them  is  180 - 75 = 105 degrees.

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• gel
• Ambitious
2014-12-27T07:14:13+05:30
WE CAN DO IT IN ANOTHER WAY ALSO
I 30*H - 11/2*M I       [ I....I  THIS IS CALLED MODULUS SYMBOL ]
=>  I 30*2 - 11/2*30 I       [ SINCE THE TIME IS 2.30 => H=2 AND M=30 ]
=>  I 60 - 11*15 I
=>  I 60 - 165 I
=>  I -105 I
=>  105
HOPE THIS HELPS U