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 [tex](x_{1},y_{1})[/tex] and
[tex](x_{2},y_{2})[/tex] is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
* Lets solve the problem
∵ City A located at point (55 , 11)
∵ City B located at point (116 , 65)
- Let point [tex](x_{1},y_{1})[/tex] = (55 , 11) and point
[tex](x_{2},y_{2})[/tex] = (116 , 65)
∴ [tex]x_{1}=55[/tex] and [tex]x_{2}=116[/tex]
∴ [tex]y_{1}=11[/tex] and [tex]y_{2}=65[/tex]
- By using the rule above
∴ [tex]d=\sqrt{(116-55)^{2}+(65-11)^{2}}=\sqrt{(61)^{2}+(54)^{2}}=81.47[/tex]
∴ The distance between the cities is 81 miles
