To find the distance between points A and C using the Pythagorean Theorem, we first identify the coordinates of the points:
- Point A is at (3, 0)
- Point C is at (0, 5)
The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Substituting in the coordinates of points A and C:
\[ d = \sqrt{(0 - 3)^2 + (5 - 0)^2} \]
Calculating the differences:
\[ d = \sqrt{(-3)^2 + (5)^2} \]
Calculating the squares:
\[ d = \sqrt{9 + 25} \]
Combining the values under the square root:
\[ d = \sqrt{34} \]
Evaluating \(\sqrt{34}\) gives approximately 5.83, which does not match any of the answer choices directly.
Since none of the provided responses directly correspond to the calculated distance, it seems there may be a misunderstanding regarding units or values provided. However, the distance between points A and C is indeed \( \sqrt{34} \) units.