A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The

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A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The angular size θ of the building is the angle formed by lines from the top and bottom of the building to the observer (see figure below). 

a. What is the rate of change of the angular size dθ/dx when the boat is x = 500 m from the building?

b. Graph dθ/dx as a function of x and determine the point at which the angular size changes most rapidly.

150 m ө х

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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