Q:

On a city map where each unit represents one mile, two cell phone towers are located at N(2,8) and P(17,5). To the nearest whole mile, how far apart are the two cell phone towers?

Accepted Solution

A:
For this case we must find the distance between two points:By definition we have to:[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]We have as data that:[tex](x_ {1}, y_ {1}) :( 2,8)\\(x_ {2}, y_ {2}) :( 17,5)[/tex]Substituting:[tex]d = \sqrt {(17-2) ^ 2 + (5-8) ^ 2}\\d = \sqrt {(15) ^ 2 + (- 3) ^ 2}\\d = \sqrt {225 + 9}\\d = \sqrt {234}\\d = 15.30[/tex]Round and we have that the distance is 15 milesANswer:15 miles