To find the distance between the points \((3, 0)\) and \((0, 4)\), you can use the distance formula, which is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (3, 0)\) and \((x_2, y_2) = (0, 4)\).
Plugging in the coordinates:
\[ d = \sqrt{(0 - 3)^2 + (4 - 0)^2} \] \[ = \sqrt{(-3)^2 + (4)^2} \] \[ = \sqrt{9 + 16} \] \[ = \sqrt{25} \] \[ = 5 \]
Thus, the distance between the points \((3, 0)\) and \((0, 4)\) is \(5\) feet.