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A phone line runs east along a field of 1.4 miles and then north along the edge of the same field for 2.5 miles. If the phone line cost 3500 per mile to install, how much could have been saved if the phone line had been installed diagonally across the field?

Respuesta :

Answer:3621.41

Step-by-step explanation:

Given

Phone line runs along east for 1.4 miles

then 2.5 miles along north

It costs 3500 currency per mile

Total distance=1.4+2.5=3.9

[tex]Cost=3.9\times 3500=13,650[/tex]

For diagonal running

[tex]Length=\sqrt{1.4^2+2.5^2}=2.865[/tex]

[tex]Cost=2.865\times 3500=10,028.58[/tex]

Thus currency saved =13,650-10,028.58=3621.41

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