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.

Cheers!

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