Question

what is the angle between the hour hand and the minute hand of a clock, when the time is 3:00,3:10,3:20,3:40?
answer plz​

Answer 1

Step-by-step explanation:

In a clock 360 degrees are divide in to 60 division

so 1 division =360/60=6 degrees

because time is 3:30

so minutes hand will be at 30*6=180 degrees.

Hours hand travels 5 division in 60 minutes

and at 3:00

Hours hand is at 15 divisions

that is at 15*6=90 degrees

when minutes hand moves 30 division hours hand will move 5*30/60 division

=2.5 divisions

=2.5*6

=15 degrees

so hours hand will be at 90+15=105 degrees

and minutes hand is at 180 degrees

therefore angle between minutes hand and hours hand

=180-105

=75 degrees

Answer 2

Answer:

At 3:00 O’ clock, the Angle between Hour Hand and Minute Hand is 90 Degrees. The Minute Hand moves 6 Degrees per minute as it covers 360 Degrees in 60 minutes. Similarly Hour Hand moves half degree per minute as it covers 30 degrees in 60 minutes.

Gong from 3:00 O’ Clock to 3:30, the angle covered by Minute Hand, with respect to it’s original position, is 180 Degrees. Similarly the angle covered by Hour Hand with respect to it’s original position is 15 Degrees and at thesame time the angle covered by Hour Hand with respect to original Minute Hand, is 90+15 = 105 Degrees.

Now, Minut Hand has moved 180 Degrees with respect to it’s origianl position and Hour hand has moved 105 Degrees with respect to Minute Hand’s original position and thus the net angle between Hour Hand and Minute Hand is 180 - 105 = 75 Degrees.

Thus, 75 Degrees is the required answer.