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.
