College

What is the angle between the hour hand and the minute hand of a clock at 11:30?

A. 90 degrees
B. 75 degrees
C. 150 degrees
D. 120 degrees
E. 105 degrees
F. 165 degrees

Answer :

Final answer:

The angle between the hour and minute hands of a clock at 11:30 is 165 degrees.


Explanation:

The angle between the hour hand and the minute hand of a clock at 11:30 can be calculated using the formula:

Angle = 30H - 11/2M

Where H represents the hour and M represents the minutes. At 11:30, H=11 and M=30, so the angle can be calculated as:

Angle = 30(11) - 11/2(30) = 330 - 165 = 165 degrees


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