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On a clock, what is the smaller angle in degrees formed by the hour hand and the minute hand at 11:11? Write your answer with one decimal place.

 

 Jan 8, 2020
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The hour hand moves     (1/2)°  per minute

 

The minute hand moves  6°  per minute

 

At 11 PM   the hands  are  separated  by   30°

 

In 11 minutes.....the   hour hand has moved  11(1/2)°  =  5.5°

 

And in 11 minutes  the minute hand has moved  11*6°  =  66°

 

So......they are separated  by  [ 30 +  66  - 5.5 ]  =  90.5°

 

 

cool cool cool

 Jan 8, 2020

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