Q. 544.6( 37 Votes )

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

Answer :

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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