Measuring indirectly using similar triangles

I chose to measure the height of my house from my backyard.

My height: My height to my eyes is 183cm which is equivalent to 5foot 10.

mirror and I: the distance between the mirror and I, was 59cm

mirror and house: the distance between the mirror and my house was 200cm

Here is a document I have made to show a visual of the triangles: 

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