The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is

To find the angle between the hour and minute hands at 10 minutes past 3 (3:10), we use the standard clock angle formula: |(30 × H) - (5.5 × M)|. Here, H (hours) is 3 and M (minutes) is 10. The hour hand's position relative to 12 o'clock is calculated as (30 × 3) + (0.5 × 10) = 90 + 5 = 95°. The minute hand's position is 6° per minute, so 10 × 6 = 60°. The absolute difference between these two positions is |95° - 60°| = 35°. Alternatively, using the direct formula: |(30 × 3) - (5.5 × 10)| = |90 - 55| = 35°. Thus, the angle between the hands at 3:10 is exactly 35 degrees.