Answer
$144.8$ feet
Work Step by Step
The height is represented by the variable $y$.The ball landing represents the height being 0. Therefore, we can model the situation with the equation shown below , where $x$ is the horizontal distance in feet:
$-0.005x^2 + 0.7x + 3.5 = 0$
Now, we can use the quadratic formula, where $-0.005$ is a, $0.7$ is b, and $3.5$ is c.
$x = \frac{-0.7 ± \sqrt {0.7^2- 4* (-0.005)* (3.5)}}{2*-0.005}$
Now, we can use the formula to get 2 solutions (rounded to the nearest tenth):
$-4.8$ and $144.8$
The negative value is unreasonable, so the answer (rounded to the nearest tenth as the question asks is $144.8$ feet.
