Too little information; too many answers.
I am assuming that there is an existing, near vertical slope in front of which someone wants to build a cantilevered, temporary, sheeting wall. I also assume that someone wants to fill the space between the wall and the near vertical slope with loose soil. Maybe I am wrong. If not, first, in the US, it would be illegal per OSHA for people to work in front of a near vertical, unsupported slope if higher than 5 feet. So, how would someone
legally build the wall without first having to backfill in front of the near vertical soil? If, before building the wall, backfill is properly placed to support the unsafe slope, then building the wall would be typical, top-down construction with active earth pressure.
EDIT: I just saw the last post about the wall being a "fence" to catch the slope when it fails. Now you could have some dynamic load being applied to possibly the full height of the wall. This would be had to model for earth pressure. You probably need to calculate the force of the failing soil (F = MA). What is A, the deceleration of the failing soil mass? When you get the force, I would apply it uniformly to the full, cantilevered height of the wall. Sounds like fun. Why not just stack some big gravity blocks (Redi-Rock?) and backfill behind the blocks?