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 ab=cos α−cos βsin β−sin α

A ladder rests against a wall at an angle α to the horizontal. Its fo

1.	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 ab=cos α−cos βsin β−sin α
Answer» 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 $\frac{a}{b} = \frac{c o s α - c o s β}{s i n β - s i n α}$