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What is the angle between the two hands ...

What is the angle between the two hands of a clock, when the clock shows 5 hours 30 minutes ?

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`15^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
From the formula, `theta=11/2m-30h" "[because 11/2m gt 30h]`
where `theta=`angle, m = minutes and h = hours

According to the question,
Here, m = 30 minutes, h = 5 hours.
So, `theta=11/2 times 30-30 times 5=11 times 15-150=165-150=15^(@)`
Therefore, the angle between the two hands of a clock at 5 hours 30 minutes = `15^(@)`
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Knowledge Check

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