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A ladder rests against a vertical wall a...

A ladder rests against a vertical wall at an angle `alpha` to the horizontal. If the foot is pulled away through a distance 2m, then it slides a distance 5 m down the wall, finally making an angle `beta ` with the horizontal. The value of `tan((alpha+beta)/(2))` is equal to

A

`(2)/(5)`

B

`(5)/(2)`

C

10

D

None of these

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The correct Answer is:
A
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