der Hang
slope
An inclined, downward-sloping surface on a mountain or hill.
Die Kinder rodelten den steilen Hang hinunter.
The children sledded down the steep slope.

slope / tendency
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slope
An inclined, downward-sloping surface on a mountain or hill.
Die Kinder rodelten den steilen Hang hinunter.
The children sledded down the steep slope.

You can recognize the meaning from the context. If it is about mountains, hills, or skiing, it refers to the inclined surface. If the word appears with 'zu' and describes a person, it refers to a character tendency.
Am steilen Hang war das Wandern sehr anstrengend.
Hiking on the steep slope was very exhausting.
For the geographic meaning, the prepositions are important. A position is described with 'am Hang' (on the slope), and movement with 'den Hang hinauf' (up the slope) or 'den Hang hinunter' (down the slope).
Unser Haus steht direkt am Hang mit Blick auf das Tal.
Our house stands right on the slope with a view of the valley.
The figurative meaning is almost always used in the fixed expression 'einen Hang zu etwas haben' (to have a tendency toward something). The preposition 'zu' is always followed by the dative.
Sie hat einen Hang zu dramatischen Auftritten.
She has a tendency toward dramatic appearances.
The tendency is often meant in a slightly negative or ironic way. Typical combinations are 'ein Hang zur Unordnung' (a tendency toward messiness), 'ein Hang zum Perfektionismus' (a tendency toward perfectionism), or 'ein Hang zur Melancholie' (a tendency toward melancholy).
Sein Hang zum Perfektionismus macht die Zusammenarbeit manchmal schwierig.
His tendency toward perfectionism sometimes makes working together difficult.
tendency / trend
'die Tendenz' and 'der Hang' can both mean an inclination toward a certain behavior. 'Tendenz' sounds more neutral and can also cautiously describe the direction in which someone thinks or acts. 'Hang' sounds stronger and often means an inner urge, especially toward something viewed rather critically. Learners may confuse the words because both can be used with 'zu'. In practice: for a neutral observation, 'Tendenz' fits better; for a strong or problematic inclination, 'Hang' often fits better.

Sie hat einen Hang dazu, nach der Arbeit noch lange über Probleme nachzudenken.
She has a tendency to keep thinking about problems for a long time after work.
Herr Lange hat die Tendenz, in Gesprächen sehr vorsichtig zu antworten.
Mr. Lange has a tendency to answer very cautiously in conversations.