What is the measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm, in degrees? Express your answer as a decimal to the nearest tenth.

Guest Nov 9, 2019

#2**+2 **

The hour hand moves at 1/2° every minute

The minute hand moves at 6° every minute

Using the top of the clock as 0°.....at 12:25

The minute hand has moved 25 * 6 = 150° from the top of the clock

The hour hand has moved 25 * 1/2 = 25/2 = 12.5° from the top of the clock

So.....the angle between them is 150 - 12.5 = 137.5°

CPhill Nov 9, 2019