5. 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) ( ). 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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5. 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) ( ). 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?
Transcribed Image Text:5. 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) ( ). 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?
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