Answer:
277.1 feets
Step-by-step explanation:
Drop height = 120 feets
Ball bounces 2/5 of previous height
Height after 1st bounce :
120 * 2/5 = 48 feets
Return distance = 48 feets
Height after second bounce :
48 * (2/5) = 19.2 feets
Return distance = 19.2 feets
Height after 3rd bounce :
19.2 * (2/5) = 7.68 feets
Return distance = 7.68 feets
Height after 4th bounce :
7.68 * (2/5) = 3.072 feets
Return distance = 3.072 feets
Height after 5th bounce :
3.072 * (2/5) = 1.2288 feets
(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328
= 277.1 feets
= 
