Refer to Problem 64. Overlay a rectangular coordinate system on a Little 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. 

Data in Problem 64.

The layout of a Little League playing field is a square 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? 

(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 (180, 20), how far is it from the right fielder to second base? 

(c) If the center fielder is located at (220, 220), how far is it from the center fielder to third base?