Let's begin by listing out the information given to us:
The ball travels in a straight line
Batter: (x, y) = (1, 1)
Shortstop: (x, y) = (5, 10)
The distance between the two-point is given by:
[tex]\begin{gathered} d=\sqrt[]{\mleft(x_2-x_1)^2+\mleft(y_2-y_1\mright)^2\mright?} \\ d=\sqrt[]{(5-1)^2+(10-1)^2} \\ d=\sqrt[]{4^2+9^2}=\sqrt[]{16+81} \\ d=\sqrt[]{97}=9.8489 \\ d=9.8489units \\ 1unit=9ft \\ d=9.8489\cdot9=88.6401 \\ d\approx88.6ft(to\text{ the nearest tenth)} \end{gathered}[/tex]
