Multiple choice

Find the angle between the hour hand and the minute hand of a clock when the time is $2:25$ pm.

  1. $77^0$
  2. $90^0$
  3. $77\dfrac12^0$
  4. $77\dfrac34^0$
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C Correct answer
Explanation

At 2:25, the minute hand is at 25 minutes (150 degrees). The hour hand is at 2*30 + (25/60)*30 = 60 + 12.5 = 72.5 degrees. The angle is |150 - 72.5| = 77.5 degrees.

AI explanation

Using the clock angle formula, where Angle = |30(H) - 5.5(M)|, we substitute the given time of 2:25 with H = 2 and M = 25. The calculation is |30(2) - 5.5(25)|, which equals |60 - 137.5|, resulting in 77.5 degrees or 77 1/2 degrees.

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