ider a scenario in which a 20ft tall lamppost lights up a street. A 5ft tall woman stands close to the lamppost and the lamppost cast her shadow on the ground in front of her. If she walks away from the lamppost at a constant speed of 2ft/s, how quickly will the length of her shadow change? Now suppose two people, one shorter than the other, walk away from the lamppost at the same constant speed v. Whose shadow is increasing faster, the taller person's or the shorter person's?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Consider a scenario in which a 20ft tall lamppost lights up a street.
A 5ft tall woman stands close to the lamppost and the lamppost casts
(a)
her shadow on the ground in front of her. If she walks away from the lamppost
at a constant speed of 2ft/s, how quickly will the length of her shadow change?
(b)
the lamppost at the same constant speed v. Whose shadow is increasing faster,
the taller person's or the shorter person's?
Now suppose two people, one shorter than the other, walk away from
Transcribed Image Text:Consider a scenario in which a 20ft tall lamppost lights up a street. A 5ft tall woman stands close to the lamppost and the lamppost casts (a) her shadow on the ground in front of her. If she walks away from the lamppost at a constant speed of 2ft/s, how quickly will the length of her shadow change? (b) the lamppost at the same constant speed v. Whose shadow is increasing faster, the taller person's or the shorter person's? Now suppose two people, one shorter than the other, walk away from
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