Question

Find the measure of the smaller angle formed by hands of a clock at the following time.

Answer 1

A clock is a circle which is 360 degrees.

There are 12 hours -----> 360/12 = 30 degrees.

Going clockwise, add 30 degrees for every hour the hour hand is at.

There are 60 minutes -----> 360/60 = 6 degrees.

Add 6 degrees for every minute the minute hand is at.

Find position of both hour hand and minute hand, then take the difference.

Time is 5:15.
Hour hand is at 5 plus 15/60 or 5.25.
Multiply by 30. 30*5.25 = 157.5

Minute hand is at 15.
Multiply by 6. 15*6 = 90

157.5 - 90 = 67.5 degrees.