Question

In the clock8.24 am show the angle​

Answer 1

Answer:

108°

Step-by-step explanation:

The 24 minutes is easy to work. The clock is 360 degrees total, so 24 of 60 is 6 times 24, or 144 degrees from the 12.

Every hour, the other hand moves the equivalent of 360 divided by 12, or 30 degrees. So, 24/60 x 30 is a movement of 12 degrees during that same 24 minutes. So, the 8/12 of 360 degrees is 240 degrees added to the 12 degrees, or 252 degrees of the circle. 252 -144 is 108 degrees.

The little hand is at 252 and the big hand is at 144.

Answer 2

Answer:

108

Step-by-step explanation:

The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute). In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5.

Angle = ((h*60 + m)*6 - (h*60 + m)*0.5.) mod 360

Final Angle = min(360-Angle, Angle)