A ladder rests against a wall making an angle \[\alpha \]with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle\[\beta \]with the horizontal. The correct relation is [IIT 1985]

\[y=x\tan \frac{\alpha +\beta }{2}\]

\[x=y\tan \frac{\alpha +\beta }{2}\]

A ladder rests against a wall making an angle \[\alpha \]with the hori

1.	A ladder rests against a wall making an angle \[\alpha \]with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle\[\beta \]with the horizontal. The correct relation is [IIT 1985]
A.	\[x=y\tan \frac{\alpha +\beta }{2}\]
B.	\[y=x\tan \frac{\alpha +\beta }{2}\]
C.	\[x=y\tan (\alpha +\beta )\]
D.	\[y=x\tan (\alpha +\beta )\]
Answer» B. \[y=x\tan \frac{\alpha +\beta }{2}\]

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A ladder rests against a wall making an angle \[\alpha \]with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle\[\beta \]with the horizontal. The correct relation is [IIT 1985]

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