I'm guessing both highway and driveway are streight lines and that driveway is perpendicular to highway wich would mean that* Smiths house*, *connection box* and *driveway-highway crossroads* make vertices of **right angle triangle.**

Now you have two options:

**1.** Run cable over 5 mi of highway + 2 mi of driveway

`cost=5 cdot 10 + 2 cdot 14 =78`

**2.** Run cable streight from connection box to the house that is over hypotenuse of triangle. Let us first calculate the length of hypotenuse `c = sqrt(2^2 + 5^2) =sqrt(29)`

`cost = 14c = 14sqrt(29) approx 75.3923`

In case 2 cost is lower implying that the company should run the cable directly from connection box over the farmland to Smiths house.

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