Multiple choice

Find the angle between the two hands (minute hand and hour hand) of a clock at 15 minutes past 4 o'clock.

  1. 35.5°

  2. 30°

  3. 37.5°

  4. 32.5°

  5. 42.5°
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 4:15, the hour hand is at 4 + 15/60 = 4.25 hours. The angle from 12 is 4.25 * 30 = 127.5 degrees. The minute hand is at 15 minutes, which is 15 * 6 = 90 degrees. The difference is 127.5 - 90 = 37.5 degrees.

AI explanation

Using the clock angle formula, theta equals 30 times the hour minus 5.5 times the minutes. Substituting 4 for the hour and 15 for the minutes gives an absolute value of 120 minus 82.5. Subtracting those figures gives 37.5 degrees, so the result is 37.5 degrees.

Keep practicing — related questions