Part a and part b. Directions: Set up the following problems with the correct definition of the variables. You do not have to solve the problem. An oil refinery is located on the north bank of a straight river that is 2 km wide. Apipeline is to be constructed from the refinery to storage tanks located on thesouth bank of the river 6 km east of the refinery. The cost of laying pipe is$400,000/km over land to a point P on the north bank and $800,000/km under theriver to the tanks. To minimize the cost of the pipeline, where should the point Pa.be located?b. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks awayfrom the pole with a speed of 5 ft/s along a straight path. How fast is the tip of hisshadow moving when he is 40 ft from the pole?

We need to set up the problems.

Answered: Part a and part b. Directions: Set up…

Part a and part b. Directions: Set up the following problems with the correct definition of the variables. You do not have to solve the problem.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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Question

Part a and part b. Directions: Set up the following problems with the correct definition of the variables. You do not have to solve the problem.

An oil refinery is located on the north bank of a straight river that is 2 km wide. A
pipeline is to be constructed from the refinery to storage tanks located on the
south bank of the river 6 km east of the refinery. The cost of laying pipe is
$400,000/km over land to a point P on the north bank and $800,000/km under the
river to the tanks. To minimize the cost of the pipeline, where should the point P
a.
be located?
b. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away
from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his
shadow moving when he is 40 ft from the pole?

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