The distance from home plate to second base is 127.3 ft.
The distance between the home plate and the pitching mound is 63.65 ft.
What is a coordinate plane?
- A coordinate plane indicates the boundary of points of intersection of given axis.
The distance from home plate to second base is the diagonal length of the square filed.
The diagonal length of a square is calculated a follows;
[tex]d = a^2 + a^2\\\\d = 2a^2 \\\\d = \sqrt{2a^2} \\\\d = a\sqrt{2}[/tex]
The distance from home plate to second base is calculated as follows;
[tex]d = 90 \ ft \times \sqrt{2} \\\\d = 127.3 \ ft[/tex]
The distance between the home plate and the pitching mound is calculated as follows;
[tex]d_2 = \frac{1}{2} \times d\\\\d_2 = \frac{1}{2} \times 127.3\\\\d_2 = 63.65 \ ft\\\\[/tex]
Learn more about diagonal of a square here: https://brainly.com/question/3417399
