The layout of a Little League playing field is a square, 60 feet on a side. Overlay a rectangular coordinate system on a Little League diamond so that the origin is at home plate, the positive x-axis in the direction from home plate to first base, and the positive y-axis lies in direction from home plate to third base.

A. What are the coordinates of first base, second base, and third base. Use feet as a 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 center field to third base?

Let see if I understand A-C.

For A, I must find (x, y) for all 3 bases knowing that the distance from base to base is 60 feet and that we start at the point (0,0). Correct? All points in the form (x, y) must be given as (x feet, y feet). Yes?

For B, I must use the distance formula for points of the form (x, y) to find HOW FAR it is from (0,0) to (180, 20). True?

For C, same as B above except the distance sought is from the (0, 0) to (220, 220).

Is any of this right in my reasoning?