That depends on how high your saddle is set above your top tube. Many tourists like to set bar tops at about the same height, some prefer them lower.

You may have more fine tuning by using a riser/adapter. It is a vertical, quill riser that adapts to a threadless type handlebar stem, thus your stem will now be in two pieces, a quill style riser that receives a threadless handlebar stem at it's top. This may give you more choices of stem length and rise. Should you later decide you need a longer or shorter reach or rise it's an easy swap and you have two parts to fine tune your fit with.

I have an old quill stem Bruce Gordon. I use this threadless adapter. It provides 118 mm of rise above the minimum insertion line. My stem angle adds a bit to that............



http://harriscyclery.net/product/dim...m1998-qc49.htm

I use a much lower riser/adapter/stem on my Litespeed around town bike.............



As you see I use dropped bars, but I would think that trekking bars would go at a similar height relative to the saddle.