Solving for h in Similar Triangles

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The discussion centers on solving for height h in a problem involving similar triangles. The user derived the formula h = (i/b)a, while the textbook states h = a/b. There is uncertainty about the presence of 'i' in the equation, with suggestions that it might be a typo. Clarification is sought on whether 'i' can be eliminated from the equation. The consensus leans towards the possibility of a typographical error in the book.
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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.
 
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No. I think it's a typo. Unless the 'i' in the original problem was actually a '1'.
 

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