A certain proportion? well let's see da/dt = 1.5 ft/min and dz/dt = 3.5 ft/min (z being distance from base of ladder to the bug) then a/30 = x/30-z so 1.5t/30 = x(t)/30-3.5t am I even close?
Problem: A 30-foot ladder rests vertically against a wall. A bug starts at the bottom of the ladder and climbs up at a rate of 3.5 feet per minute. At the same time, the foot of the ladder is being pulled along the ground at a rate of 1.5 feet per minute until the top of the ladder reaches the...