Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be stayed by wires attached to a single stake at ground level, the wires running to the tops of the posts. How far from the shorter post should the stake be placed to use the least amount of wire?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.76TI: The distance between opposite corners of a rectangular field is four more than the width of the...
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Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be stayed by wires attached to a single stake at ground level, the wires running to the tops of the posts. How far from the shorter post should the stake be placed to use the least amount of wire?
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