Question

at what time between 2and 3the acute angle between the hour hand and the minute hand will be 50degree

Answer 1

hey !

We know that the angle between the two hands of the clock is given by

θHM=60H−11M2θHM=60H−11M2

⇒1050=60(2)−11M2⇒1050=60(2)−11M2

⇒2100=1200−11M⇒2100=1200−11M

⇒11M=1200−2100⇒11M=1200−2100

⇒11M=−900⇒11M=−900

⇒M=−9011⇒M=−9011

Neglecting the sign, we have

⇒M=9011=8211⇒M=9011=8211

Therefore, the angle between the two hands of the clock is 10501050 when the time is 2:(8*2)11