Do you mean: how would one navigate the 115-track outbound leg to 8.5D?
Only one thing is clear: do not use the ADF for this!
If you want to do it the super exact way, draw an OBS line from SLG on your GPS and couple the autopilot to it. For me, that would be too much hassle, so overhead SLG I would turn to 115 and then watch the COG (course over ground) on my EHSI (or any GPS) and tweak the heading to it remains on 115 more or less. The same way you can do the 282 inbound but that is harder because you do not know where exactly you end up after the inbound turn so an OBS would be more appropriate for the inbound.
In real life if you’re not vectored, the GPS most likely contains the complete procedure which has waypoints for all those DME distances given and you load + activate it and have the autopilot execute the whole procedure.
Or is the question, if you are approaching SLG from the south and doing the teardrop procedure rather than the DME Arc, how do you get established outbound?
You need to be positioned +-30 degrees of the outbound heading. If heading north you can’t just turn right at the aid. The hold won’t help you in this approach so you would head to the west to come in at SLG heading 085 to 145 degrees then take up the heading outbound.
I guess that must have been the question.
In that case, strictly speaking, one needs to respect the MSA circle on the chart, and if you comply with that you can do whatever kind of DIY positioning around the NDB which is not prohibited on the chart. Respecting the MSA may mean arriving at/above the MSA and doing the descent to the IAP platform while on the 115 deg outbound leg.
A procedure turn is one common way and would be good if say coming from the east.
