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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(α+β))`.

Text Solution

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