Find the angle between the hands of a clock at 5:15.

Solution:

Given the time 5:15

Angle traced by hour hand in 12 hours = 360°

Therefore, angle traced by hour hand in 5 15/60hrs = 157.5°

Angle traced by hour hand in 60 min = 360°

Therefore, angle traced by hour hand in 15 min = (360/60 × 15)° = 90°

Required angle = 157.5°- 90° = 67.5°

Find the angle between the hands of a clock at 5:15.

Summary:

The angle between the hands of a clock at 5:15 is 67.5°.