Baseball Refer to Problem 63 . Overlay a rectangular coordinate system on a major league baseball diamond 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 first base, second base, and third base? Use feet as the unit of measurement. If the right fielder is located at ( 310 , 15 ) how far is it from the right fielder to second base? If the center fielder is located at ( 300 , 300 ) , how far is it from the center fielder to third base?
Baseball Refer to Problem 63 . Overlay a rectangular coordinate system on a major league baseball diamond 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 first base, second base, and third base? Use feet as the unit of measurement. If the right fielder is located at ( 310 , 15 ) how far is it from the right fielder to second base? If the center fielder is located at ( 300 , 300 ) , how far is it from the center fielder to third base?
Solution Summary: The author explains that a major league baseball diamond is square with 90 feet on the side. A rectangular co-ordinate system is diamond.
Baseball Refer to Problem
63
. Overlay a rectangular coordinate system on a major league baseball diamond 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 first base, second base, and third base? Use feet as the unit of measurement.
If the right fielder is located at
(
310
,
15
)
how far is it from the right fielder to second base?
If the center fielder is located at
(
300
,
300
)
, how far is it from the center fielder to third base?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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