The distance from home plate to second base can be calculated using the fact that a baseball field is a diamond shape, where home plate, first base, second base, and third base form the corners of a square.
The distance from home plate to first base is 90 feet, and since the bases form a square, the distance from first base to second base is also 90 feet. To find the distance from home plate to second base, we can use the Pythagorean theorem.
Let \( d \) be the distance from home plate to second base, then:
\[ d = \sqrt{(90, \text{ft})^2 + (90, \text{ft})^2} \]
Calculating this gives:
\[ d = \sqrt{8100 + 8100} = \sqrt{16200} \approx 127.28, \text{ft} \]
Rounding to the nearest foot, the distance from home plate to second base is approximately 127 feet.
So the correct response is 127 ft.