Shadow Length A man 6 feet tall walks at a rate of 5 feetper second toward a streetlight that is 30 feet high (see figure).The man’s 3-foot-tall child follows at the same speed, but10 feet behind the man. At times, the shadow behind the childis caused by the man, and at other times, by the child.(a) Suppose the man is 90 feet from the streetlight. Show thatthe man’s shadow extends beyond the child’s shadow.

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...
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Shadow Length A man 6 feet tall walks at a rate of 5 feet
per second toward a streetlight that is 30 feet high (see figure).
The man’s 3-foot-tall child follows at the same speed, but
10 feet behind the man. At times, the shadow behind the child
is caused by the man, and at other times, by the child.
(a) Suppose the man is 90 feet from the streetlight. Show that
the man’s shadow extends beyond the child’s shadow.

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