# height & distance

Submitted by alpha on Sat, 08/23/2008 - 09:54.

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

a/b=(cos alpha-cos beta)/(sin beta-sin alpha)

I am unable to get the figure correctly.