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In this video you will learn how to find the rate of change of the length of the kite string by using Pythagorean Theorem and implicit differentiation.
A boy is flying a kite at a height of 150 feet. If the kite moves horizontally away from the boy at 20 feet per second, how fast is the string being paid out when the kite is 250 feet from him?
0:20 Drawing the picture and labeling quantities we know - determining what to look for
5:28 Using quantities for Pythagorean Theorem and implicit differentiation to find an equation
5:59 Differentiating the found equation implicitly with respect to time t
6:57 Plugging in known variables and solving for D (string length rate of change)
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