Answer to Question #324817 in Calculus for Kay

Question

A ladder, inclined at 60 ° with the horizontal is leaning against a vertical wall. The foot of the ladder is 3 meters away from the foot of the wall. A boy climbs the ladder such that his distance z meters with respect to the foot of the ladder is given by z = 6t, where tis the time in seconds. Find the rate at which his vertical distance from the ground changes with respect to ¢. Find the rate at which his distance from the foot of the wall is changing with respect to t when he is 3 m away from the foot of the ladder.