To find the distance from home plate to second base on a baseball field, we can use the geometry of the square in which the bases are located.
In a standard baseball diamond, the bases form a square. The distance from home plate to first base is 90 feet. To find the distance from home plate to second base, we can use the Pythagorean theorem.
We can consider the points:
- Home plate (H)
- First base (1B)
- Second base (2B)
If we visualize the baseball diamond as a square, where each side is 90 ft, the distance from home plate to second base is the diagonal of the square formed between home plate, first base, and second base.
Using the Pythagorean theorem: \[ \text{Distance from Home to Second Base} = \sqrt{(90^2 + 90^2)} \] \[ = \sqrt{(8100 + 8100)} \] \[ = \sqrt{16200} \] \[ = 90\sqrt{2} \] \[ \approx 127.28 \text{ ft} \]
So, the distance from home plate to second base is approximately 127 ft.
Therefore, the correct answer is 127 ft.