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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.

 Nov 9, 2019
 #1
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150 degrees - 12.50 degrees = 137.50 degrees.

 Nov 9, 2019
 #2
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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°

 

 

cool cool cool

 Nov 9, 2019

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