Question 59

Find the angle between the hands at 3:30 p.m.

Solution

At 3:30 , the minute hand is at number 6. At 3:00 the hour hand was at number 3.

total 360 degree which is divided by 12 parts

hence , the angle between two number is 30 degree

so,

The angle between 3 and 6 is 90 degree but hour has moved 15 degree.(between 3 and 4 )

Hence the angle betweenthe two is ( 90 -15) = 75 degree.

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