On a clock, what is the smaller angle in degrees formed by the hour hand and the minute hand at 11:11? Write your answer with one decimal place.
The hour hand moves (1/2)° per minute
The minute hand moves 6° per minute
At 11 PM the hands are separated by 30°
In 11 minutes.....the hour hand has moved 11(1/2)° = 5.5°
And in 11 minutes the minute hand has moved 11*6° = 66°
So......they are separated by [ 30 + 66 - 5.5 ] = 90.5°