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505-555 (Easy)|   Geometry|      
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Bunuel
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If an analogue clock indicates that the time is exactly 5 o'clock, wha Sun Sep 02, 2018 9:02 pm
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Question Stats:

92% (00:55) correct 8% (00:32) wrong based on 29 sessions

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If an analogue clock indicates that the time is exactly 5 o'clock, what is the measure of the angle between the hour hand and the minute hand?


A. 50 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees
E. 150 degrees
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E
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If an analogue clock indicates that the time is exactly 5 o'clock, wha Sun Sep 02, 2018 9:21 pm
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Bunuel
If an analogue clock indicates that the time is exactly 5 o'clock, what is the measure of the angle between the hour hand and the minute hand?


A. 50 degrees
B. 60 degrees
C. 90 degrees
D. 120 degrees
E. 150 degrees
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So there are two hands hour hand and minute hand.......
some info
1) minute hand -
Total 60 min and 360° so each minute =\(\frac{360}{60}=6\)°
Since minute hand is at 12, it makes 0° with the 12 O'clock
2) hour hand
It moves 360 in 12h as the hour hand completes 1 circle in 12 hour, so \(\frac{360}{12}=30\)° in 1 hour
If it moves 30° in 1 hour, it will move \(30*5=150\)° in 5 hour..

Also angle between 12( minute hand) and 5( hour hand) = \(360*\frac{5}{12}=150\)

E
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