Question

The coordinates on a map for City A are (55, 11) and those for City B are (116, 65). Note that coordinates represent miles. Find the distance between the cities to the nearest mile. --------------

Answer 1

Answer:

The distance between the cities is 81 miles

Step-by-step explanation:

* Lets explain how to find a distance between two points

- The distance between the two pints $(x_{1},y_{1})$ and

  $(x_{2},y_{2})$ is

  $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

∵ City A located at point (55 , 11)

∵ City B located at point (116 , 65)

- Let point $(x_{1},y_{1})$ = (55 , 11) and point

 $(x_{2},y_{2})$ = (116 , 65)

∴ $x_{1}=55$ and $x_{2}=116$

∴ $y_{1}=11$ and $y_{2}=65$

- By using the rule above

∴ $d=\sqrt{(116-55)^{2}+(65-11)^{2}}=\sqrt{(61)^{2}+(54)^{2}}=81.47$

∴ The distance between the cities is 81 miles