A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the wall at a rate of 2.5 ft/sec. How fast is the height of the shadow changing when the person is 8 feet from the wall? Is the shadow increasing or decreasing in height at this time?

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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1. A spot light is on the ground 20 ft away from a wall and a 6 ft tall person
is walking towards the wall at a rate of 2.5 ft/sec. How fast is the height
of the shadow changing when the person is 8 feet from the wall? Is the
shadow increasing or decreasing in height at this time?
2. Two people on bikes are separated by 350 meters. Person A starts riding
north at a rate of 5 m/sec and 7 minutes later Person B starts riding
Transcribed Image Text:1. A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the wall at a rate of 2.5 ft/sec. How fast is the height of the shadow changing when the person is 8 feet from the wall? Is the shadow increasing or decreasing in height at this time? 2. Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5 m/sec and 7 minutes later Person B starts riding
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