8.) Two towns A and B are to get their water supply from the same pumping station to be located on the bank of a straight river that is 15km from town A and 10km from town B. If the points on the river nearest to A and B are 20km apart and A and B are on the same side of the river, where should the pumping station be located so that the least amount of piping is required?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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8.) Two towns A and B are to get their
water supply from the same pumping
station to be located on the bank of a
straight river that is 15km from town
A and 10km from town B. If the points
on the river nearest to A and B are
20km apart and A and B are on the
same side of the river, where should
the pumping station be located so that
the least amount of piping is required?
Transcribed Image Text:8.) Two towns A and B are to get their water supply from the same pumping station to be located on the bank of a straight river that is 15km from town A and 10km from town B. If the points on the river nearest to A and B are 20km apart and A and B are on the same side of the river, where should the pumping station be located so that the least amount of piping is required?
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