For a better understanding of the solution provided here please find the attached diagram. The diagram is self explanatory.
We have been given the coordinates of both the points. Thus, we can easily find the distance between both the points using the distance formula which states that:
Distance,d between any two points with coordinates [tex] (x_1, y_1) [/tex] and [tex] (x_2,y_2) [/tex] is given by:
[tex] d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
In our case, [tex] (x_1, y_1) [/tex] =(1,5)
and [tex] (x_2,y_2) [/tex]=(4,-3)
Applying the above formula in our case we get:
[tex] d=\sqrt{(1-4)^2+(5-(-3))^2}=\sqrt{(-3)^2+(5+3)^2}=\sqrt{9+64}=\sqrt{73}\approx8.5 [/tex]
Thus the required distance is 8.5 km.
Please note that even if the depiction of the points were interchanged, the final distance arrived at would remain the same.
