The lower end, A, of a ladder AB rests on a horizontal floor. B passes on a vertical wall. In this position the ladder is inclined at an angle `x` with the floor. The end A now slips a distance `a` while the end B comes down by a distance `b`. The inclination of ladder is now `y`. Show that tan[(x+y)/2]=a/b

Tig , 8 Years ago

Grade 11