A balloon is at a height of 20 meters, and is rising at the constant rate of 5 m

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A balloon is at a height of 20 meters, and is rising at the constant rate of 5 m/sec. A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the distance between the bicyclist and the balloon increasing 2 seconds later? 10/root 10 m/sec Draw a sketch of a vertically rising balloon labeling its height above the bicycle path y, and a bicyclist that has passed beneath the balloon labeling its distance x. Label the distance between the balloon and the bicyclist D. From this figure, what relationship from geometry gives an equation that relates x, y, and D? Translate the facts given in the problem to mathematical symbols. Using implicit differentiation, solve for the appropriate derivative that answers the how fast question. Additional Materials Tutorial

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