Angle between the hour and minute hand of a clock at 11:15 is -
112.5∘
In 12 hours, hour hand gains an angle of 360∘. In 1114 hours, hour hand gains an angle
=36012×454=6752=337.5∘
In 60 minutes, minute hand gains an angle =360∘
In 15 minutes, minute hand gains an angle =360∘60∘×15=90∘
At 11:15, the difference between the minute hand and hour hand of a clock is =90∘+(360∘−337.5∘)
=112.5∘