To calculate the distance from home plate to second base on a baseball field, we can consider the baseball diamond as a square. The distance from home plate to first base is one side of the square, which is 90 feet.
When calculating the distance from home plate to second base, we are essentially looking for the diagonal of the square. The diagonal of a square can be calculated using the Pythagorean theorem:
\[ d = \sqrt{a^2 + b^2} \]
Where \(a\) and \(b\) are the lengths of the sides. In this case, both are 90 feet.
\[ d = \sqrt{90^2 + 90^2} = \sqrt{8100 + 8100} = \sqrt{16200} = 90\sqrt{2} \approx 127.28 \text{ feet} \]
Rounding to the nearest foot gives us 127 feet.
So, the distance from home plate to second base is 127 feet.
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