A rocket travels vertically at a speed of 900 km/hr. The rocket is tracked through a telescope by an observer located 13 km from the launch pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. (Round your answer to two decimal places.) rad/hr A man pulls a canoe towards a dock using a rope that is tied around his waist. Taking into account the height of the dock, the rope around the man's waist is 5 feet higher than the surface of the water. If the man pulls the rope at a rate of 3ft/sec, how fast is the canoe approaching the dock when there are 18 feet of rope between the man's waist and the nearest end of the canoe ? (Round your answer to three decimal places.) Recall that to find how fast the canoe approaches the dock at the moment there is a fixed distance of rope left, it is necessary to find a relationship with canoe's distance from the dock and the amount of rope remaining. Sketch a picture of the described situation and assign ,variables to changing quantities. What kind of shape is formed by the rope, the man's height above the water, and the canoe's distance from the dock? What is the relationship among the sides of this shape? How can this relation be used to find a relation between the rates of change of the side lengths? Is the length of the rope increasing or decreasing?