Multiple choice

The angle between the minute hand and the hour hand of a clock when the time is 8:25 am is

  1. ${92^0}45'$
  2. ${102^0}30'$
  3. ${105^0}$
  4. ${107^0}15'$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8:25, the hour hand is at 8 + 25/60 = 8.4166 hours. The position in degrees from 12 is 8.4166 * 30 = 252.5 degrees. The minute hand is at 25 * 6 = 150 degrees. The difference is 252.5 - 150 = 102.5 degrees, or 102 degrees 30 minutes.

AI explanation

Using the clock angle formula, we calculate the absolute difference between 30 times the hours and 5.5 times the minutes. For 8 hours and 25 minutes, this gives an absolute difference between 240 and 137.5, resulting in 102.5 degrees. Since half a degree is equal to 30 minutes, the final angle is 102 degrees and 30 minutes.

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