Question

What is the angle between hands of a clock when the time is 5:15?

#ntse.

Answer 1

Total distance between Minute hand and Hour hand at 5:15 = 10 minute + 5/4 minute

= 45/4 minute.

So, the angle between hour hand and minute hand at 5:15

= 45/4 minute * 6 degree

= 67.5 degree.

Answer 2

Let the time to be expressed in format a:b [ a hours, b minutes ]

a:b = 5:15

We know that Angle ∅ =| 5a-b | 6± b /2

here, 5a> b So, the formula becomes

∅ =| 5a-b | 6+ b /2

∅ = | 5(5)-15 | 6+15/2

= 10(6) +15/2

= 60+7 1/2

=67 1/2

=67.5°

the angle between hands of a clock when the time is 5:15 is 67.5°