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A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. a) At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 25 ft away from the pole? Answer: (35/13) + 7 b) How fast is her shadow lengthening? Answer: 35/13

A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. a) At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 25 ft away from the pole? Answer: (35/13) + 7 b) How fast is her shadow lengthening? Answer: 35/13

Calculus: Early Transcendentals
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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Question

A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec.

a) At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 25 ft away from the pole?

Answer: (35/13) + 7

b) How fast is her shadow lengthening?
Answer: 35/13


The answer to part a is incorrect, I assumed that the length would be the shadow's length + the rate of which the girl is walking but it doesn't seem to be.

At least one of the answers above is NOT correct. A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 25 ft away from the pole? 35 +7 13 Answer: How fast is her shadow lengthening? 35 Answer: 13
Transcribed Image Text:At least one of the answers above is NOT correct. A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 25 ft away from the pole? 35 +7 13 Answer: How fast is her shadow lengthening? 35 Answer: 13
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