RLC without Source, finding the value of Resistance given I(0)
Here’s a plan:
The capacitor can be dismissed. The voltage drop at 18us is very tiny because of the huge value of the cap - so you can replace it with constant U0=12V in the model. So there's only a RL circuit left.
The solution to the differential equation of the RL circuit with starting voltage U0 is: I(t)=U0/R*(1-exp(-tR/L)).
I don't know how to solve this (analytically) for R, but asking wolfram alpha, it gives me a result of about 120 Ohms. The racoons resistance is 119.986 Ohms.