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A ladder rests against a wall at an angl...

A ladder rests against a wall at an angle `alpha` to the horizontal, its foot is pulled away from the wall through a distance a, so that it slides a distance b down the wall making an angle `beta` with the horizontal. Show that `a = b tan 1/2(alpha + beta)`.

Text Solution

Verified by Experts

The correct Answer is:
`a= b tan(alpha + beta)/2`.
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