This Old Guy is assuming you are to supervise in one way or the other how you place the LCC in layers so that the edge 5 feet width into the FINAL cut is all on undisturbed ground. Do not do that staking. Instead stake and have the cut slope made so there then is a 5 foot horizontal dimension from the main cut surface staked surface back into the slope that meets a 30 degree line to be the bottom corners of all those layers when completed. Make that cut, and no cuts farther into the slope yet. After the wall is built and filling of the LLC starts, one layer at a time. When the completed first layer is done, excavate for the next layer into the slope that 5 foot distance beyond the edge of the just placed LCC all in undisturbed ground. Place the next LCC layer. So then continue up the slope, one layer at a time with the edge 5 foot width excavation made immediately before placing the next LCC layer. It means handling that 5 foot width earth cut material for each layer, one cut at a time, just before placing the next LCC layer How you do that can be by many means. I'd look at some form of "dental" excavating method such as an elevating excavator as used for roadway final finishing of subgrade excavation, using trucks or other earth hauling equipment to get that material out of that area. Maybe a back-hoe would do it. How you stake that original cut to get down and build the wall, I'd bet some simple device at top of slope can serve as a guide for the bulk excavators. I'd not try to stake the completed bottom corners edges of those LCC layers for the first bulk excavation. In summary, do the final 5 foot edge width excavation of the LCC zone one layer at a time only after the previous lower LCC layer below is done and set. Due to possible mistakes or actually doing the first bulk esxavation, that final 5 foot width may not be exactly 5 ft., maybe 7 or maybe 4. At least its position can be firmed up at the final excavation and filling step.