At 3 hours 45 minutes there is not an acute angle between the hands of the clock (unless you extend the hands backwards).
Right Angle or 900
The angle - is 120 degrees !
Angle between the hands of a clock=|11M-60H|/2i.e. M-Minutes=35(here)H- Hours=7(here)∴ The angle b/w hands of a clock=|11*35-60*7|/2=17.5°
It creates a 150o angle at 3:40
The hands of the clock form an obtuse angle during each and every hour.
An acute angle is any angle that is between 0° and 90°.At the exact hour mark, the minute hand is always at the 12.And so, the hours where the clock form an acute angle are:1 o'clock2 o'clock10 o'clock11 o'clockThus, there are 4 hours.
At 3:00 (1500 hours) on a clock, the hour hand is pointing directly at the 3 and the minute hand is pointing at the 12. To find the angle between the hands, we can use the formula: |(30*H) - ((11/2)M)|, where H is the hour and M is the minute. Plugging in the values, we get |(303) - ((11/2)*0)| = |90 - 0| = 90 degrees. Therefore, the angle between the hands of the clock at 1500 hours is 90 degrees.
15 + 5 x 30 ie 165o
Technically 364.999 to the Nth degree, since the hands of a clock go in circles, you could view them barely touching as an obtuse angle.
There are 30 degrees between the numbers on a clock face - therefore, if the time in hours has passed by a quarter of an hour, then the difference in angle between the head of the hour hand and the head of the minute hand would be 30 x 1/4 = 7.5 degrees.
Since the span between 12 and 2 is 2 hours, and there are 12 hours on a round analogue clock face, it stands to reason that you are essentially dividing a circle into 6 equal pieces by virtue of the 12 hours divided by the two hour span. And if there are 360 degrees in a circle, then one sixth of 360 degrees would leave you with 60 degrees. Therefore the angle between the hands at 12 and 2 O'clock is 60 degrees.