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1. An electric utility company is required to run a cable from a transformer station on the shore of a lake to an island. The island is 6 km from shore and the station is 12 km down the shoreline from a point opposite the island. It costs $4000/km to run the cable on land and $5000/km underwater. Find the path the cable should take for the minimum cost of installation. Draw a diagram.

1. An electric utility company is required to run a cable from a transformer station on the shore of a lake to an island. The island is 6 km from shore and the station is 12 km down the shoreline from a point opposite the island. It costs $4000/km to run the cable on land and $5000/km underwater. Find the path the cable should take for the minimum cost of installation. Draw a diagram.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1. An electric utility company is required to run a cable from a transformer station on the shore of a lake to an island. The island is 6 km from shore and the station is 12 km down the shoreline from a point opposite the island. It costs $4000/km to run the cable on land and $5000/km underwater. Find the path the cable should take for the minimum cost of installation. Draw a diagram.
Transcribed Image Text:1. An electric utility company is required to run a cable from a transformer station on the shore of a lake to an island. The island is 6 km from shore and the station is 12 km down the shoreline from a point opposite the island. It costs $4000/km to run the cable on land and $5000/km underwater. Find the path the cable should take for the minimum cost of installation. Draw a diagram.
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