Solving for h in Similar Triangles

[swooshfactory]

In a problem I am trying to solve, I have one large right triangle with length a and height h. Inside this triangle, there is another triangle of length b and height i. I am trying to solve for h. I deduced h = (i/b)a . In the back of the book, it says h = a/b. Is there any way to remove the i in representing h? Or is this a typo? Thank you for any help.

 

[Dick]

No. I think it's a typo. Unless the 'i' in the original problem was actually a '1'.