What Is the Angle Between the Clock Hands at 11:12 AM?

[tatoo5ma]

okay!
so, i had an exercice that say:
it's 11:12am, what s the angle between the two switches?
the problem here that stopped me from solvin that is when its like 11:12, the first switch, is not at 11am but it s slightly after that! i am confused!
any help is apprecied

 

[Fermat]

The minute hand moves 60 times as much as the hour hand.
What angle does the hour hand move through when the minute hand moves through 12 minutes ?

 

[tatoo5ma]

0.2 :huh:
then what?
is the angle 35.9 degrees

 

[Fermat]

The minute hand moves through 12 minutes.

12 min = 1/5 hour = 1/5 circle = 1/5*360 deg = 72 deg

so how far does the hour hand move ?

 

[tatoo5ma]

so, is it 14.4 deg, and the angle between the two hands at 11:12 is 57.6deg. am i right

 

[Fermat]

The hour hand moves 1/60 of the minute hand's movement, which is 72°.
Therefore movement of the hour hand is 1/60*72=1.2°.

Remember that this movement of the hands starts at 11.00, when the hands already have an angle between them.

The little hand is on 11 and the big hand is on 12

So you have to add this initial angle on to get your final answer.