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A ladder leaning against a vertical wall...

A ladder leaning against a vertical wall is inclined at an angle `alpha` to the horizontal. The top of the ladder touches the parapet. On moving its foot 'a' feet away from the wall, the ladder now stands inclined at an angle `beta` to the horizon and its top now touching a window. then the distance of the parapet from the window is a cot`(alpha+beta)/(2)`.

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