Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Little League Baseball

Overlay a rectangular coordinate system on a Little 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.

A. What are the coordinates of first base, second base, and third base?

B.if the right fielder is located at (180, 20), how far is it from the right fielder to second base?

C. If the center fielder is located at (220, 220), how far is it from the center fielder to third base?

NOTE: THE BASES ARE SEPARATED BY 90 FEET AROUND THE BASEBALL DIAMOND.

Let me see.

For A:

First base coordinates (90, 0).

Second base coordinates (90, 90).

Third base coordinates (0, 90).

You say?

For B:

Let R = distance from right field to second base.

R = sqrt{(180 - 90)^2 + (20 - 90)^2}

Is this correct?

For C:

Let C = distance from center field to third base.

C = sqrt{(220 - 0)^2 + (220 - 90)^2}

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Little League Baseball

Looks ok to me.

B

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Little League Baseball

Looks ok to me.

B

Very good. By the way, questions posted in this forum are

A. Even number problems which most textbooks don't list the answers to in the back section

B. Problems that I have tried to solve several times but to no avail

C. Problems that I simply don't know how to begin to solve