What is the angle turned by hour hand of a clock in 30 minutes and 15 seconds?

In one hour the hour hand completes 360/12 degree i.e. 30o.

1 hour is equal to 60 minutes so in 1 minute angle completed by hour hand is 30o/60 i.e 0.5o, so angle completed in 30 minutes is 0.5o x 30 = 15o.

1 minute is equal to 60 seconds so angle completed by hour hand in 1 sec is equal to 0.5o/60 so angle completed in 15 seconds is 0.5o x 15/60 = 0.125o.

So, the total angle turned by our hand = 15o + 0.125o = 15.125o.