A rectangular billboard 9 feet in height stands in a field so that its bottom is 6 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands a| feet from the billboard. Express 0, the vertical angle subtended by the billboard at her eye, in terms of xl. Then find the distance ¤o| the cow must stand from the billboard to maximize 6. 0(x) = O is maximized when #o =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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Nearsighted Cow Problem
Transcribed Image Text:Nearsighted Cow Problem
A rectangular billboard 9 feet in height stands in a field so that its bottom is 6 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground
stands x| feet from the billboard. Express 0, the vertical angle subtended by the billboard at her eye, in terms of æl. Then find the distance xo] the cow must stand
from the billboard to maximize 6.
0(x) =
O is maximized when xol =
Transcribed Image Text:A rectangular billboard 9 feet in height stands in a field so that its bottom is 6 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands x| feet from the billboard. Express 0, the vertical angle subtended by the billboard at her eye, in terms of æl. Then find the distance xo] the cow must stand from the billboard to maximize 6. 0(x) = O is maximized when xol =
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