Two vertical poles, 8 ft and 16 ft high, stand 18 ft apart on a flat field. A worker wants to support both poles by running the rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Two vertical poles, 8 ft and 16 ft high, stand 18
ft apart on a flat field. A worker wants to
support both poles by running the rope from
the ground to the top of each post. If the
worker wants to stake both ropes in the ground
at the same point, where should the stake be
placed to use the least amount of rope?
Transcribed Image Text:Two vertical poles, 8 ft and 16 ft high, stand 18 ft apart on a flat field. A worker wants to support both poles by running the rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope?
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