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In the figure shown, find out the value ...


In the figure shown, find out the value of `theta`[assume string to be tight]

A

`tan^-1(3)/(4)`

B

`tan^-1(4)/(3)`

C

`tan^-1(3)/(8)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

`l_1+l_2=`constant
`implies(dl_1)/(dt)+(dl_2)/(dt)=0`
`implies(sqrt(3)cos30^@+1cos60^@)+1sintheta-(13)/(4)costheta=0`
`implies=4sintheta-13costheta=-8`
`implies13costheta-4sintheta=8`
Checking the option, we get `theta=37^@=tan^-1((3)/(4))`.
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