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 =

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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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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