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Q.    ​A ladder rests against a wall at an inclination of  α  to the horizontal. It's foot is pulled away from the wall through a distance 'p' so that its upper end slides a distance 'q' down the wall and then the ladder makes an angle  β  to the horizontal. Show that :-

                                                              p q   =   cos   β   -   cos α sin   α   -   sin   β

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