Question

1. A pitcher throws a ball to a batter, who hits the ball to the shortstop. If the ball travels in a straight line between each, what is the total distance traveled by the ball? Round your answer to the nearest tenth of a foot Battel 1 units Find the length of segment KL.

Answer 1

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:

`\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}`