Question

the acute angle between hour hand and a minute hand at 3:30 am is ​

Answer 1

Step-by-step explanation:

1/3*30 = 10 degrees. so hour hand moves by 10 degrees every 20 mins. so angle between hour and min hand at 3.20 is 30 - 10 = 20 degrees.

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Answer 2

Answer:

At 3.20 , the minute hand is at number 4 and the hour hand is at 3 (near 3 as it needs to moves every minute too to reach next hour)

so we need to find how much degree hour hand moves from number 3. In other words, how much hour hand moves by the time minute hand covers 20 mins.

So we divide clock by 20 mins interval each,i.e 3 divisions.

Note : Angle between every 2 numbers in clock is 30 deg. (360/12 = 30 degrees).

so, 1/3*30 = 10 degrees.

so hour hand moves by 10 degrees every 20 mins.

so angle between hour and min hand at 3.20 is 30 - 10 = 20 degrees.