A major league baseball diamond is actually a square 90 feet

A major league baseball \"diamond\" is actually a square, 90 feet on a side (see the figure). Overlay a rectangular coordinate system on it 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. What are the coordinates of third base? Use feet as the unit of measurement, so that one unit on the graph corresponds to one foot on the field The coordinates of third base are If the right fielder is located at (315.10), approximately how far is it from the right fielder to second base? The right fielder is about feet from second base. (Round to the nearest tenth as needed.) If the center fielder is located at (310,310), approximately how far is it from the center fielder to third base? The center fielder is about feet from third base. (Round to the nearest tenth as needed.)

Solution

a) Coordinates of third base ( 0, 90)

b) coordinates of right fielder ( 315, 10)

coordinates of second base ( 90,90)

Distance between right fielder to second base sqrt(( 315-90)^2 + ( 10-90)^2)

= 238.80 units = 238.8 feet

c) coordinates of centre field ( 310, 310)

coordinates of third base ( 0, 90)

Centre fielder is sqrt( (310 )^2 +(310 -90)^2 ) = 380.13 units = 380.1 feet