A flag of height F=75 feet sits atop a building of height B=160 feet. The goal is to find the distance x from the base of the building that maximizes the viewing angle, theta. Find tan(phi) Solve for phi as a function of x  find tan(theta=phi) Solve for theta as a function of x that yeilds maximum viewing angle

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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A flag of height F=75 feet sits atop a building of height B=160 feet. The goal is to find the distance x from the base of the building that maximizes the viewing angle, theta.

Find tan(phi)

Solve for phi as a function of x 

find tan(theta=phi)

Solve for theta as a function of x that yeilds maximum viewing angle

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