The bottom of a large theater screen is 12 ft above your eye level and the top of the screen is 40 ft above your eye level. Assume you walk away from the screen (perpendicular to the screen) at a rate of 2 ft/s while looking at the screen. What is the rate of change of the viewing angle e when you are 20 ft from the wall on which the screen hangs, assuming the floor is flat (see figure)? 40 t 12

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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The bottom of a large theater screen is 12 ft above your eye level and the top of the screen is 40 ft above your eye level. Assume you walk
away from the screen (perpendicular to the screen) at a rate of 2 ft/s while looking at the screen. What is the rate of change of the viewing
angle e when you are 20 ft from the wall on which the screen hangs, assuming the floor is flat (see figure)?
40 ft
12
Write an equation relating x and e.
Transcribed Image Text:The bottom of a large theater screen is 12 ft above your eye level and the top of the screen is 40 ft above your eye level. Assume you walk away from the screen (perpendicular to the screen) at a rate of 2 ft/s while looking at the screen. What is the rate of change of the viewing angle e when you are 20 ft from the wall on which the screen hangs, assuming the floor is flat (see figure)? 40 ft 12 Write an equation relating x and e.
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