a ladder rests against a vertical wall at an inclination of alpha to the horizontal its foot is pulled away - Maths - Some Applications of Trigonometry

Question

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

Gopal Mohanty · Accepted Answer

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!