Multiple choice

Find the angle between the hour hand and the minute hand of a clock when the time is 25 minutes to 7.

  1. $12 \dfrac{1}{2}^o$
  2. $17 \dfrac{1}{2}^o$
  3. $20 \cfrac{1}{2}^o$
  4. $22 \cfrac{1}{2}^o$
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B Correct answer
AI explanation

The time 25 minutes to 7 is written as 6:35. Using the clock angle formula, where Angle = |30(H) - 5.5(M)|, we substitute H = 6 and M = 35. The calculation is |30(6) - 5.5(35)|, which equals |180 - 192.5|, resulting in 17.5 degrees or 17 1/2 degrees.