Question

What will be the acute angle between hands of a clock at 5:25?

Answer 1

Answer:

12.5 degrees

Step-by-step explanation:

Hour hand

12hr------>360 degree

1hr------->30 degree

1min------>(1/2) degree

Minute hand

60min----->360 deg

1min------>6 deg

1sec------>(1/10) deg

given 5:25

5hours 25minutes

for 5hr,hour hand makes 5×30=150degree

It also moves in 25minutes..given by

25×(1/2)=12.5degree

hence total Hour hand makes 150+12.5=162.5degree

minute hand for 25minutes is

25×(6)=150 degree..

hence acute angle between hands of clock is 162.5-150=12.5degree

obtues angle is 360-12.5=347.5 degree