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You need a permit if its over 4' in LA and many of the other cities around here. this is measures from the bottom of the footing to the top of the wall. At 5'5", you should get it engineer. it is holding up the hill side? Put in the rebar (not vertical) and tie it into the footing. they are cheap enough just for insurance. Foolish to build anything like that without rebars. What city are you in again? Socal right? The general rule of thumb is around 60 bucks a lin. foot for a 6' wall. For a smaller length, the cost may be more per lineal foot.
Jeff
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