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 baseball diamond so that the orgin is at home plate, the positve 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 unit of measurement.)
(b) If the right fielder is located at point (180, 20), how far is it from there to second base?
(c) If the center fielder is located at point (220, 220), how far is it from there to third base?
A couple of ways to do this. One way is to use the distance formula.
(We know 2nd base is at (60, 60); the right fielder is at (180, 20);
d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)
d = sqrt((180 - 60)^2 + (20 - 60)^2)
= sqrt ((120)^2 + (-40)^2)
= sqrt(16,000)
= 40*sqrt(10)
Which is about 126.5 feet.