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What is the number of degrees in the acute angle formed by the hands of a clock at 6:44?

 
 Jun 10, 2021
 #1
avatar+32561 
+2

From the 12:00 position the hour hand moves   1/2 degree per minute

   the minute hand moves  6 degrees per minute

 

at 6 oclock + 44 minutes  the hour hand is at 180 degrees + 44 (1/2) = 202 degrees

   the minute hand at :44 is at     44 * 6 = 264 degrees

 

 

264 - 202 = 62 degrees between them

 
 Jun 11, 2021
edited by ElectricPavlov  Jun 11, 2021
 #2
avatar+51 
+2

Thank you @ElectricPavlov!

 
NaturalDisaster  Jun 11, 2021
 #3
avatar+113567 
+1

But at 6:44 the hour hand is not at 6 so this not an exact answer.

 
 Jun 11, 2021
 #4
avatar+32561 
+2

Melody....   I summed  the   6 oclock time + 44 minutes for the hour hand....

 
ElectricPavlov  Jun 11, 2021
edited by ElectricPavlov  Jun 11, 2021
 #5
avatar
+2

Yep... Melody is behind her time on this one....   LOOOOOL

 
Guest Jun 11, 2021
 #7
avatar+113567 
0

oh yea  Sorry   blush

 
Melody  Jun 11, 2021
 #6
avatar+25911 
+3

What is the number of degrees

in the acute angle formed by the hands of a clock at 6:44?

Formula: \(\boxed{\Delta\alpha^\circ = 330 * t^h}\)

 

\(\begin{array}{|rcll|} \hline \Delta\alpha^\circ &=& 330 * t^h \\\\ \Delta\alpha^\circ &=& 330 * (6+\dfrac{44}{60}) \\\\ \Delta\alpha^\circ &=& 330 * 6.7333333333^h \\ \Delta\alpha^\circ &=& 2222^\circ \\ \Delta\alpha^\circ &=& 62^\circ +6*360^\circ \\ \mathbf{\Delta\alpha^\circ} &=& \mathbf{62^\circ} \\ \hline \end{array}\)

 

laugh

 
 Jun 11, 2021

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