?One side of the Eiffel Tower in Paris has a shape that can be approximated by the graph

Chapter 4, Problem 110

(choose chapter or problem)

One side of the Eiffel Tower in Paris has a shape that can be approximated by the graph of the function

where x and ƒ(x) are both measured in feet. (Source: Banks, Robert B., Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics, Princeton University Press.)

(a) Why does the shape of the left side of the graph of the Eiffel Tower have the formula given by ƒ(-x)?

(b) The short horizontal segment at the top of the figure has length 7.8744 ft. How tall, to the nearest foot, is the Eiffel Tower?

(c) How far from the center of the tower is the point on the right side that is 500 ft above the ground? Round to the nearest foot.

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