to sag / drop
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to sag / slump
To move slowly downward or collapse inward, usually because of weight, tiredness, or weakening support.
Nach der langen Wanderung sackte er erschöpft in den Sessel.
After the long hike, he slumped exhausted into the armchair.
to drop
Refers to prices, rates, or levels that fall or decrease.
Die Immobilienpreise sind in dieser Region deutlich gesackt.
Real estate prices have dropped significantly in this region.
to let sink in
To let information, an event, or a thought affect you and think about it before reacting.
Das war eine überraschende Nachricht, die muss ich erst mal sacken lassen.
That was surprising news; I need to let it sink in first.
The verb 'sacken' (to sag/drop) describes a change of state or position. Therefore, the perfect tense is always formed with the auxiliary verb 'sein' (to be).
Die Kiste ist plötzlich vom Regal gesackt.
The box suddenly slipped down from the shelf.
When a person 'sackt' (sags/slumps), a preposition with the accusative is often used to indicate direction. Typical phrases are 'in den Stuhl sacken' (to slump into the chair) or 'auf die Knie sacken' (to sink to one's knees).
Als er die gute Nachricht hörte, sackte er erleichtert auf den Boden.
When he heard the good news, he sank to the floor in relief.
In the meaning of 'fallen' (to fall), 'sacken' is often used for abstract things such as prices, rates, temperatures, or even the mood.
Als die Sonne unterging, sind die Temperaturen schnell gesackt.
As the sun went down, the temperatures dropped quickly.
The expression 'etwas sacken lassen' (to let something sink in) has a fixed structure. The verb 'lassen' (to let) is conjugated, while 'sacken' remains in the infinitive at the end of the sentence. The thing being processed is in the accusative.
Er hat mir ein kompliziertes Angebot gemacht. Das muss ich erst mal sacken lassen.
He made me a complicated offer. I need to let that sink in first.
to fall
Fallen and sacken can both express a decrease in prices or rates. Fallen describes the change neutrally. Sacken is more marked and tends to suggest a noticeable slump, so it is especially suitable for a significant downward movement.
Der Aktienkurs sackt heute deutlich um zwölf Prozent.
The stock price is plunging, down twelve percent today.
Der Aktienkurs fällt heute leicht um zwei Prozent.
The stock price is down slightly, by two percent, today.
