Someone could help me with this problem. It is a problem that made me a friend and the truth is not how to solve.
If in the next figure the segments of length $h_i$ are perpendiculars to the base BC of the right triangle ABC and the segments of length $d_i$ are perpendiculars to AC.
Which is the value of $\,\,\,\displaystyle{\sum_{i=1}^{\infty}h_i}$?