angle between minute and hours hands at $7:35$ P.M I want to know what is the angle between minute and hours hands at $7:35$ P.M
I have no Idea. could any one tell me?
 A: In $60$ minutes the hour hand moves 30 degree so in 35 minutes it would have moved 
$$\frac{30}{60} \times 35 $$
$$=17.5^\circ$$
Hour hand at $17.5^\circ$ from 7 . minute hand exactly points at 7 , so angle between minute hand and hour hand = $17.5^\circ$
I would point you to an online tool

clock angle calculator

A: assuming the hour hand moves "continuously over time"  then the angle the hour hand from 12 o'clock is $2\pi(7+ \frac{35}{60})/12$ and the angle of the minute hand is $2\pi(35/60)$... so just find the difference.
A: Hint: Measuring angles clockwise from straight up in degrees, at $7:00$ the minute hand is at $0^\circ$ and the hour hand is at $210^\circ$.  What is the rate of motion of the hour hand in degrees/hour?  What fraction of an hour is $35$ minutes?  The minute hand will be at $210^\circ$
A: $1$ hour for the hour hand = $5$ minutes for the minute hand = 30°.
The minute hand is obviously at $210°$.
The hour hand is between $210°$ and $240°$. Now, to get the exact amount between this two:
$$
x:35 = 30°:60
$$
$$
x:35 = 1°/2
$$
$$
x = 35°/2 = 17.5°
$$
A: Hint: Since 35 minutes have elapsed out of the 60 minutes in an hour, the hour hand will have moved $\frac{35}{60}$ of the angle between the 7 and the 8. Now, what is the angle between the 7 and the 8?
A: The minute hand will have travelled $\frac{35}{60}\cdot 360$ degrees from "straight up."
The hour hand is a little trickier. Every hour it travels through $\frac{360}{12}=30$ degrees. So at $7:35$ it has travelled $\left(7+\frac{35}{60}\right)\cdot 30$ from straight up.
Calculate, subtract. 
A: assuming:
h: 0-11 -> hour
m: 0-59 -> minute
s: 0-59 -> second
then
the always correct formula is:
A = 30 h - 11/2 m - 11/120 s
Angle = min {|A| , 360-|A|}   
and in your case:
h = 7
m = 35
s = 0
=> A = 30*7 - 11/2 * 35 = 17.5
Angle = min {|17.5| , 360 - |17.5|} = min {17.5 , 342.5} = 17.5  
