If Lǚ has appeared in your reading, the book is naming a moment when something dangerous is close at hand — and the question is not whether to engage, but how. The image is precise: walking on a tiger's tail. The animal could turn. It does not. The conduct of the walker is doing the work.
Classical commentary reads this hexagram as the discipline of asymmetric encounter. Below is the lake, above is heaven; the lower is small, the upper is large. The hexagram appears when the reader stands in front of something — a person, an institution, a force — that holds significantly more power than they do, and the engagement cannot be avoided.
What the book counsels is the precise courtesy that recognises difference without collapsing into it. The walker on the tail does not panic and does not pretend the tiger is not there. The judgment 不咥人, 亨 — it does not bite, this flows — is the report of a conduct that fits its setting. Etiquette here is structural, not decorative.
Lǚ's failure mode is either swagger or fear. Both spook the tiger. The hexagram appears when the reader is approaching power and the question of carriage matters. The book is not asking for performance. It is asking for the unhurried attention that lets the dangerous animal feel correctly addressed.