Suppose that a 5-foot ladder is lying up against a wall, 3 feet from the base of the wall, forming a right triangle. Suppose that the ladder is sliding at a rate of 0.5 feet per second away from the wall. How quickly is the ladder falling down the wall? You must draw and label a picture for this problem to receive full credit
We want to solve for dy/dt
0=1/2(x^2+y^2)^-1/2 * (2xdx/dt + 2ydy/dt)
When the length of the ladder from the base is 3 ft and the height of the ladder is 4 ft, the ladder is falling downwards at a rate of 2.25 ft/s.