Answer
$$x=252.5 \ ft $$
Work Step by Step
$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$
$$ \text{Plugging in the given values:}$$
$$a=-0.004, b=1, c=2.5$$
$$ x = \frac{-1 \pm \sqrt{1^2-4(-0.004)(2.5)}}{2(-0.004)}$$
$$\text{Reducing within the radical gives: } $$
$$ x = \frac{-1 \pm \sqrt{1.04}}{(2)-0.004}$$
$$ \text {This gives: } $$
$$x=-2.47548783981963,252.47548783982$$
$$ \text{Thus, the distance will be:}$$
$$ 252.5 \ ft $$
