Question

A map's numerical coordinates are in kilometres. Town A is at (16.3, 2.9) and town B is at

(4.5, 6.3). A road is to be constructed on a direct line between the two towns. Each town is
responsible for the construction up to the mid-point at a cost of $150 000 for each kilometre.
Determine the cost for each town.

Answer 1

$92,250 per town

Explanation:

See attached image.

The two towns may be connected with a straight line, the road, that can be made into the hypotenuse of a right triangle. The twio sides are calculated from the coordinates and shown in the image. Then use the phythagorean theorem to calculate the hypotenuse. The towns are 12.3 km apart. The total road cost would be:

($150,000/km)(12.3 km) = $1,845,000, or $92,250 per town.