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Observe that, at any instant, the minute...

Observe that, at any instant, the minute and hour hands of a clock make two angles between them whose sum is `360^(@)`. At 6:15 the difference between these two angles is-

A

`165^(@)`

B

`170^(@)`

C

`175^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
We want to find here angle between minute hand and hour hand at 6:15

Hour hand covers `30^(@)` in 60 minute.
Then in 15 minute it covers `=7.5^(@)`
So angle between both hand at 6:15 is `90^(@)+7.5=97.5^(@)`
Another angle is `360^(@)-97.5^(@)=262.5^(@)`
Hence difference is `262.5^(@)-97.5^(@)=165^(@)`
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