Question

the figure shows a coordinate plane on baseball field. The distance from home plate to first base is 90 feet. The pitching mound is the midpoint between home plate and second base. Find the distance from home plate to second base. Find the distance between home plate and the pitching mound. Explain how you found your answers.​

Answer 1

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;

$d = a^2 + a^2\\\\d = 2a^2 \\\\d = \sqrt{2a^2} \\\\d = a\sqrt{2}$

The distance from home plate to second base is calculated as follows;

$d = 90 \ ft \times \sqrt{2} \\\\d = 127.3 \ ft$

The distance between the home plate and the pitching mound is calculated as follows;

$d_2 = \frac{1}{2} \times d\\\\d_2 = \frac{1}{2} \times 127.3\\\\d_2 = 63.65 \ ft$

Learn more about diagonal of a square here: brainly.com/question/3417399