The angle between the hands of a clock at 4:30 is _______.A. 30oB. 35.5oC. 37.5oD. 40o
Question
The angle between the hands of a clock at 4:30 is _______.
A. 30°
B. 35.5°
C. 37.5°
D. 40°
Solution
To find the angle between the hands of a clock at 4:30, you can use the formula:
Angle = |30H - 11/2 M|
where H is the hour and M is the minute.
So, for 4:30, the calculation would be:
Angle = |30*4 - 11/2 * 30| = |120 - 165| = 45 degrees
However, this is not one of the options given. The formula above gives the larger angle between the hands, but a clock has two "angles" - one smaller, one larger. The smaller angle is simply 360 - the larger angle.
So, the smaller angle is 360 - 45 = 315 degrees.
Again, this is not one of the options given. It seems there may be a mistake in the question or the answer choices.
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