A ball dropped from a certain height rises after bouncing to 45% of its original height. After bouncing if the ball rises to 3 ft. What is the height from which it was dropped?

Question

anonymous · Answer

If x is the original height, then $$3 = .45x$$
so $$3/.45 = x$$
x = 20/3 = 6.666...

anonymous · Answer

Thanks. I got that also, but didn't think It was right.

anonymous · Answer

That is correct.  If you try it out.  

If the ball is 6.66666 high to begin with, then 45% of 6.66666 is 3 ft.