Answer: 16.6386 ft.
Explanation:
Given: A a ball is dropped from a height of 6 ft.
Each time it bounces, it reaches only 7/10 of its previous height.
i.e. after 1st bounce the height reached by the ball is given by :-

After 2nd bounce the height reached by the ball is given by :-

Thus, it is following a geometric progression with common ratio (r)=7/10=0.7 and the first term = 6
The sum of geometric progression of first n terms is given by ;-

Now, the total distance the ball bounces (distance falling and going up) through the 5th bounce is given by:-
