The bottom of a large theater screen is 6 ft above your eye level and the top of the screen is 20 t above your eye level Assume you walk away from the screen (perpendicular to the screen) at a rate of 2 fis while looking at the screen What is the rate of change of the viewing angle 0 when you are 20 t from the wall on which the screen hangs. assuming the floor is flat (see figure)? 20 m Write an equation relating x and 0 20 tan 0= tan Differentiate both sides of the equation with respect to t do dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The bottom of a large theater screen is 6 ft above your eye level and the top of the screen is 20 ft above your eye level
Assume you walk away from the screen (perpendicular to the screen) at a rate of 2 fts while looking at the screen
What is the rate of change of the viewing angle 0 when you are 20 t from the wall on which the screen hangs.
assuming the floor is flat (see figure)?
20 m
Write an equation relating x and 0
20
tan
0= tan
Differentiate both sides of the equation with respect to t
d0
dt
Transcribed Image Text:The bottom of a large theater screen is 6 ft above your eye level and the top of the screen is 20 ft above your eye level Assume you walk away from the screen (perpendicular to the screen) at a rate of 2 fts while looking at the screen What is the rate of change of the viewing angle 0 when you are 20 t from the wall on which the screen hangs. assuming the floor is flat (see figure)? 20 m Write an equation relating x and 0 20 tan 0= tan Differentiate both sides of the equation with respect to t d0 dt
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