it would be a cathedral ceiling, you'd need to make sure the wall separating the garage from the dwelling is properly covered according to the table. Of course you cannot simply remove (well you could but you wouldn't like the results) the ceiling joists. If you are planning on a remodel I'd recommend involving a knowledgeable designer to help you out with it. A cathedral ceiling typically would require either a structural ridge beam or rafter ties (installed in the lower 1/3 of the space between the ridge and top of walls) at a minimum of 48" o.c. to prevent the rafter trust from pushing out the tops of the load bearing walls, which in turn causes saddling (bowing) of the ridge.
Sorry about the mix up, I thought you asked Joe about VA. if you edited your profile to include your location it would help in providing you with more useful information. Here is a link for the building codes in Texas. http://www.reedconstructiondata.com/...g-codes/texas/
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