+136 What is the number of degrees in the acute angle formed by the hands of a clock at 6:44?
+36916 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
+36916 Melody.... I summed the 6 oclock time + 44 minutes for the hour hand....
+26367 What is the number of degrees
in the acute angle formed by the hands of a clock at 6:44?
Formula: \(\boxed{\Delta\alpha^\circ = 330 * t^h}\)
\(\begin{array}{|rcll|} \hline \Delta\alpha^\circ &=& 330 * t^h \\\\ \Delta\alpha^\circ &=& 330 * (6+\dfrac{44}{60}) \\\\ \Delta\alpha^\circ &=& 330 * 6.7333333333^h \\ \Delta\alpha^\circ &=& 2222^\circ \\ \Delta\alpha^\circ &=& 62^\circ +6*360^\circ \\ \mathbf{\Delta\alpha^\circ} &=& \mathbf{62^\circ} \\ \hline \end{array}\)
