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(Teaser) What is the measure of the angle between the minute and the hour hands, when they show 3:05 PM? 

 

Good luck!

joebob  Oct 8, 2017
 #1
avatar+90088 
+3

The minute hand has moved 30° from 12 o'clock

 

The hour hand at 3 o'clock  is 90° from 12 o'clock

And It moves 30° every hour....so...in 5 minutes....it would have moved  (1/12) of 30° = [30/12]° =

(5/2)°  = 2.5°

 

So......the  [lesser]  angle  between the minute and hour hand at 3:05  is

 

 

[ 90 + 2.5] -  30  =  62.5°

 

 

cool cool cool

CPhill  Oct 8, 2017
 #2
avatar+205 
+2

Thanks!

joebob  Oct 8, 2017

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