
Concept explainers
Baseball Refer to Problem
What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement.
If the right fielder is located at
If the center fielder is located at
(a)

The coordinate of first base, second base and third base in the feet as unit of measurement.
Answer to Problem 61AYU
Solution:
The coordinate of first base is
Explanation of Solution
Given Information:
A major league baseball “diamond” is square with
A rectangular co-ordinate system on a major league baseball is diamond. The origin is at home plate, the positive
Explanation:
As the home plate is at the origin of the rectangular coordinate then the coordinate of the home plate is origin that means
The first base is at a distance of
The second base is at a distance of
The third base is at a distance of
The below figure shows all the vertices of the baseball diamond:
(b)

To calculate: The distance from the right fielder to second base where the right fielder is located at
Answer to Problem 61AYU
Solution:
The distance between the right fielder to second base is
Explanation of Solution
Given Information:
A major league baseball “diamond” is square
A rectangular co-ordinate system on a major league baseball is diamond. The origin is at home plate, the positive
Formula used:
The distance formula: The distance between two points
Calculation:
From figure and part (a),
Thesecond base located at the
The right fielder is located at the
The distance between the right fielder to second base is
By using the distance formula
Therefore, the distance between the right fielder to second base is approximately
(c)

To calculate: The distance from the center fielder to third base, where the center fielder is located at
Answer to Problem 61AYU
Solution:
The distance between the center fielder to third base is approximately
Explanation of Solution
Given Information:
A major league baseball “diamond” is square
A rectangular co-ordinate system on a major league baseball is diamond. The origin is at home plate, the positive
Formula used:
The distance formula: The distance between two points
Calculation:
From figure and part (a),
Thethird base located at the
The center fielder is located at
The distance between the center fielder to third base is
By using the distance formula
Therefore, the distance between the center fielder to third base is approximately
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Precalculus
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