Chapter 1.1, Problem 111AE

Baseball Refer to Problem 109. Overlay a rectangular coordinate system on a major league baseball diamond so that the origin is at home plate, the positive $x\text{-axis}$ lies in the direction from home plate to first base, and the positive $y\text{-axis}$ lies in the direction from home plate to third base.

(a) What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement.

(b) If the right fielder is located at $\left(310,15\right)$, how far is it from there to second base?

(c) If the center fielder is located at $\left(300,300\right)$, how far is it from there to third base?