a ladder rests against a vertical wall at an inclination of alpha to the horizontal.its 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 of beta to the horizontal show that

p/q= cos beta - cos alpha/ sin alpha -sin beta


Dear student,
The given information can be represented diagrammatically as
 In the above figure AB and CD represent the same ladder
So, their length must be equal
Let length of the ladder be h
∴ AB = CD = h
Hence, proved
Hope! You got the proof.


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