Q 15 A ladder against a vertical wall at an inclination α to the horizontal The foot is - Maths - Some Applications of Trigonometry

Question

Q 15 A ladder against a vertical wall at an inclination α to
the horizontal The 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

Neha Sethi · 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 Regards