First, we compute the coordinates of Exit 1. According to the problem, Exit 1 is halfway between Tomstown and Mount Lookout, using the formula to compute the coordinates of the midpoint of a segment we get:
[tex]\begin{gathered} x_1=\frac{2+78}{2}=\frac{80}{2}=40, \\ y_1=\frac{3+71}{2}=\frac{74}{2}=37. \end{gathered}[/tex]Now, since Exit 2 is halfway between Exit 1 and Mount Lookout, we use the same formula as above and get:
[tex]\begin{gathered} x_2=\frac{40+78}{2}=\frac{118}{2}=59, \\ y_2=\frac{37+71}{2}=\frac{108}{2}=54. \end{gathered}[/tex]Answer: (59,54).
