Question

if the clock shows time 10:10 what is the angle made by by the hands of the clock?​

Answer 1

Answer:

The angle made by the hands of the clock is an acute angle ( an angle less than 90 degree )

Answer 2

At 10 O' clock the angle between hour hand and minute hand will be 60° ( 1 hour = 30°)

a minute hand moves an angle of 360° in 60 minutes

so, the minute hand will move an angle of (10/60)*360

= 60° in 10 minutes

now, an hour hand moves 30° in 60 minutes

so the hour hand will move an angle of (10/60)*30°

= 5° in 10 minutes

so, angle between hands at 10:10

= 60° + 60° - 5°

= 120° - 5°

= 115°