Given:
The coordinates of the Oceanfront, (x1, y1)=(3, -2).
The coordinates of the Seaside, (x2, y2)=(-2,4).
The distance between the points corresponding to Oceanfront and Seaside is,
[tex]\begin{gathered} D=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ =\sqrt[]{(-2-3)^2+(4-(-2)^2} \\ =\sqrt[]{(-5)^2+6^2} \\ =\sqrt[]{25+36} \\ =\sqrt[]{61} \end{gathered}[/tex]
It is given that one unit represents 5 miles.
So, the actual distance between Oceanfront and Seaside is,
[tex]\begin{gathered} d=5D \\ =5\times\sqrt[]{61} \\ \cong40\text{ miles} \end{gathered}[/tex]
Therefore, actual distance between Oceanfront and Seaside is about 40 miles.
