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.
(a) 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

The Cartesian (rectangular) coordinate is made up of ordered pair of (x, y), such that the x-value gives the horizontal distance from the origin, while the y-value gives the vertical distance from the y-axis

The coordinates of the third base are; [tex]\underline{(0, \ 90)}[/tex]

Reason:

Given parameters of the baseball "diamond" are;

Shape of the "diamond" = A square

Length of the side of the square = 90 feet

Location of the home plate = The origin, (0, 0)

Positive x-direction = Direction of the home plate from the base

Positive y-direction = The direction from home plate to third base

(a) Required: The coordinates of he third base;

Solution:

The third base is on the positive y-direction, on the vertex of the square diamond, where the home plate is at the origin

The location of the third base is 90 feet from the origin along the y-axis

Therefore;

The coordinates of the third base are [tex]\underline{(0, \ 90)}[/tex]

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