Multiple choice

Find the smaller angle between the hour hand and the minute hand of the clock when the time is 3:25.

  1. 205/2°

  2. 150°

  3. 95/2°

  4. 50°

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Angle = |30H - 5.5M|. At 3:25, H=3, M=25. Angle = |30(3) - 5.5(25)| = |90 - 137.5| = 47.5 degrees, which is 95/2 degrees.

AI explanation

Using the clock angle formula, we calculate the absolute difference between 30 multiplied by the hours and 11 divided by 2 multiplied by the minutes. Substituting 3 for the hours and 25 for the minutes gives the absolute value of 90 minus 137.5, which equals 47.5 degrees, or 95 divided by 2 degrees.

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