The ball travel horizontally 37 feet before it hits the ground
Step-by-step explanation:
we have
where
x ----> is the horizontal distance in feet
A ---> is the altitude of the ball, in feet.
we know that
When the ball hit the ground, the altitude of the ball is equal to zero
so
For A(x)=0
solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The ball travel horizontally 37 feet before it hits the ground