A ladder, inclined at 60 ยฐ 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 ยข. 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.
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