The motion of the ball as described above is an example of geometric sequence. A geometric sequence is that which the value of the succeeding terms share a common ratio. From the given, since the ball is dropped in 10 ft from the ground, this is the a1 or or the first term.
This is because ABE is a right triangle with the right angle being angle BAE. We know that AB = 8 and EB = 10, so we can use the Pythagorean Thoerem to find AE.