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In this video you will learn how to find a person's Shadow LENGTH Rate of Change with respect to time given the person's height and distance from the lamp post as well as the lamp's altitude.

Suppose a 6-ft-tall person is x feet away from an 18-ft-tall lamppost. If the person is moving away from the lamppost at a rate of 2 feet per second, at what rate is the length of the shadow changing?

0:30 Drawing picture
2:11 Understanding what needs to be solved for - writing known components
4:46 Finding equation for shadow length s(t)
5:41 Differentiating Implicitly s(t) to get s'(t)
6:04 Using x'(t) to solve for s'(t)

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