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Answer :
Final answer:
The angle between the hour and minute hand on a clock can be calculated using the formula: Angle = |30H - 11/2*M|. For the time 12:15, the angle is approximately 277.5 degrees.
Explanation:
The angle between the hour and minute hand on a clock can be calculated using the formula:
Angle = |30H - 11/2*M| degrees
Where H is the hour and M is the minute.
For the time 12:15, the hour hand is at 12 and the minute hand is at 3. Plugging in the values, we get:
Angle = |30*12 - 11/2*15| = |360 - 165/2| = |360 - 82.5| = 277.5 degrees
Therefore, the angle between the hour and minute hand is approximately 277.5 degrees, which is closest to option d) 97.5 degrees.
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Rewritten by : Barada
The angle gap between the 12 and the 1 on a clock is 30 degrees since 360/12 = 30.
Over the course of 1 hour, aka 60 minutes, the hour hand will move 30 degrees. One quarter of that is 15 minutes, and the hour hand will move 30/4 = 7.5 degrees over this 15 minute timespan.
Imagine for a moment that the hour hand did not move when going from 12:00 to 12:15. If this was the case, then the angle of the hands at 12:15 would be 90 degrees. However, the hour hand does move and rotates 7.5 degrees clockwise. Therefore, the angle 90 degrees will shrink to 90-7.5 = 82.5 degrees.
The answer is 82.5 degrees
Your teacher made a typo when listing out the possible answer choices. Either that, or your teacher meant to say something other than 12:15 perhaps.
