
die Sackgasse
dead-end street
A street that has only one entrance and is closed at the other end, so you have to turn around.
Wir sind aus Versehen in eine Sackgasse gefahren.
We accidentally drove into a dead-end street.
dead end
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dead-end street
A street that has only one entrance and is closed at the other end, so you have to turn around.
Wir sind aus Versehen in eine Sackgasse gefahren.
We accidentally drove into a dead-end street.

dead end
A situation in which there seems to be no solution or no further progress.
Die Verhandlungen stecken in einer Sackgasse.
The negotiations are stuck in a dead end.
The word is made up of 'Sack' (sack) and 'Gasse' (alley/lane). Imagine an alley that, like a sack, has only one opening and is closed at the end. This image helps you remember the meaning easily.
Achtung, diese Straße ist eine Sackgasse, du musst hier wenden.
Careful, this street is a dead end; you have to turn around here.
The preposition 'in' is used with the dative or accusative depending on the situation. 'In einer Sackgasse sein/stecken' (to be/be stuck in a dead end; dative) describes the state, while 'in eine Sackgasse fahren/geraten' (to drive/end up in a dead end; accusative) describes movement toward it.
Wir stecken mit dem Auto in einer engen Sackgasse.
We are stuck with the car in a narrow dead-end street.
The figurative meaning 'ausweglose Situation' (hopeless situation) is a direct metaphor of a road with no way out. You can recognize it when the context is not about a real street, but about abstract things such as negotiations, discussions, or projects.
Die Diskussion über das neue Gesetz ist in einer Sackgasse gelandet.
The discussion about the new law has ended up in a dead end.
In the figurative meaning, 'Sackgasse' (dead end) is often combined with the verbs 'stecken' (to be stuck), 'sich befinden' (to be located / to find oneself), or 'geraten' (to end up).
Ich fühle mich in meinem Job in einer Sackgasse.
I feel like I'm in a dead end in my job.
trap
Falle and Sackgasse (dead end) both refer to a difficult situation with no easy way out. However, someone is usually in a Falle because another person has put them there, whereas a Sackgasse can arise without deception and no longer allows any progress. Use Falle when someone else has deliberately created the situation and Sackgasse when there is no solution.

Ohne neue Ideen war das Team bei diesem Projekt in einer Sackgasse.
Without any new ideas, the team had reached a dead end on this project.
Nach dem falschen Versprechen saß der Kunde in der Falle und konnte den Vertrag kaum beenden.
After the false promise, the customer was trapped and could barely get out of the contract.