A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13/m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.
A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13/m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 41CR
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![A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline
along side the river for the remaining distance. If it costs $ 13 /m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the
construction cost?
(a) The point P should be upstream
m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2a1cbcc-c3a0-4dc9-8596-b764312b6556%2F772a37fd-5f71-40f0-a01f-1917771a3048%2Fhxpozhb_processed.png&w=3840&q=75)
Transcribed Image Text:A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline
along side the river for the remaining distance. If it costs $ 13 /m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the
construction cost?
(a) The point P should be upstream
m.
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