A power plant sits next to a river where the riveris 800 ft wide. To lay a new cable from the plant to a location inthe city 2 mi downstream on the opposite side costs $180 per footacross the river and $100 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A power plant sits next to a river where the river
is 800 ft wide. To lay a new cable from the plant to a location in
the city 2 mi downstream on the opposite side costs $180 per foot
across the river and $100 per foot along the land. Suppose that the cable goes from the plant to a point Q on
the opposite side that is x ft from the point P directly opposite
the plant. Write a function C(x) that gives the cost of laying the
cable in terms of the distance x.

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