Question

A baseball diamond is the shape of a square. The distance between the consecutive bases is 90 feet. What is the distance from home plate to 2nd base. Draw a picture of the problem and solve. Round to the nearest tenth.

Answer 1

Notice that the distance between the home plate to second base is the diagonal of a square:

From the Pythagorean Theorem, since a right triangle is formed by the diagonal and the two sides of the square, then the distance from home to the second base is:

`\begin{gathered} d=^2\sqrt[]{(90ft)+(90ft)^2} \\ =\sqrt[]{2(90ft)^2} \\ =\sqrt[]{2}*(90ft) \\ \approx127.3ft \end{gathered}`