Question

The units of the subway map below are in miles. Suppose the routes between stations are straight. Find the approximate distance a passenger would travel between stations J and K.

Answer 1

Point J has coordinates (2,6)

Point K has coordinates (-1,-3)

The distance between 2 point is given by

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

where

`\begin{gathered} (x_1,y_1)=\mleft(2,6\mright) \\ (x_2,y_2)=(-1,-3) \end{gathered}`

By substituying these values, we have

`\begin{gathered} d=\sqrt[]{(-1_{}-2)^2+(-3-6)^2} \\ d=\sqrt[]{(-3)^2+(-9)^2} \\ d=\sqrt[]{9+81} \\ d=\sqrt[]{90} \end{gathered}`

hence,

`d=9.49`