What is the smaller angle between the hour hand and the minute hand of a clock at 11:24?

💡 Solution & Explanation

Use angle = |30 × H − 5.5 × M|. Here |30 × 11 − 5.5 × 24| = |330 − 132| = 198°. That is more than 180°, so the smaller angle is 360° − 198° = 162°. The 5.5 accounts for the hour hand moving half a degree every minute.