Refer to Problem 59. Overlay a rectangular coordinate system on a major league baseball diamond so that the origin is at home plate, the positive x-axis lies in the direction from home plate to first base, and the positive y-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 (310, 15), how far is it from the right fielder to second base?

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

Data from problem 59

A major league baseball “diamond” is actually a square, 90 feet on a side (see the figure).What is the distance directly from home plate to second base (the diagonal of the square)?

2nd base 90 ft Pitching rubber 3rd base 1st base 90 ft Home plate