Question

A map on a coordinate plane places two cities on coordinates. Upland is located at (25, 5) and Highland is located at (50, 10). If each unit on the map represents one mile, approximately how many miles apart are the two cities?

Answer 1

Approximately 25.5 miles

Explanation:

Location of both the cities are
`(25,\: 5)=(x_1, \:y_1) \:\&\: (50,\: 10)=(x_2 , \:y_2)`

The distance between two cities can be obtained by using distance formula:

Distance between two cities

`= \sqrt{ {(x_2 - x_1)}^(2) + {(y_2 - y_1)}^(2)} \\ \\ = \sqrt{ {(50 - 25)}^(2) + {(10 - 5)}^(2)} \\ \\ = \sqrt{ {(25)}^(2) + {(5)}^(2)} \\ \\ = √( 625 + 25) \\ \\ = √( 650) \\ \\ = 25.4950976 \\ \\ \approx25.5 \: miles`