# A ladder rests against a wall at an angle α to the horizontal. Its foot is pulled away from the wall through a distance a, so that it slides a distance b down the wall making an angle β with the horizontal. Show that

In the fig let the length of ladder is h (m)

In ∆AEB

Sin α =

Sin α =

AE = h Sin α

Cos α =

Cos α =

BE = h Cos α

In ∆DEC

Sin β =

Sin β =

DE = h Sin β

Cos β =

Cos β =

CE = h Cos β

Now

=

=

=

= Proved

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