Answer:
2.0736 feet
Step-by-step explanation:
After the first bounce, the ball rises to a height of ⅗(16) = 9.6.
After the second bounce, the ball rises to a height of ⅗(9.6) = 5.76.
After the third bounce, the ball rises to a height of ⅗(5.76) = 3.456.
After the fourth bounce, the ball rises to a height of ⅗(3.456) = 2.0736.
This can also be modeled as a geometric sequence.
h = 16 (⅗)ⁿ
h = 16 (⅗)⁴
h = 2.0736
Round as needed.
