hoch
high / tall
Describes a large vertical extent; the opposite of low.
Der Mount Everest ist der höchste Berg der Welt.
Mount Everest is the highest mountain in the world.

high
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high / tall
Describes a large vertical extent; the opposite of low.
Der Mount Everest ist der höchste Berg der Welt.
Mount Everest is the highest mountain in the world.

When 'hoch' (high) comes before a noun and receives an ending, the word stem changes: the 'c' is dropped. 'hoch' then becomes 'hoh-'. This is an important and fixed rule.
Das ist ein sehr hohes Gebäude.
That is a very tall building.
The adjective 'hoch' (high) is the basis for the noun 'die Höhe' (height) and the verb 'erhöhen' (to increase). If you learn these words together, you can remember the meaning more easily.
Die Höhe des Turms beträgt über 200 Meter.
The height of the tower is over 200 meters.
Very often, 'hoch' (high) describes not only physical height, but also a large amount or high intensity in abstract things. Typical combinations are a high price, high quality, a high risk, or a high fever.
Die Nachfrage nach diesem Produkt ist sehr hoch.
Demand for this product is very high.
In social or professional contexts, 'hoch' (high) describes an important position or important status. For example, people speak of 'eine hohe Position' (a high-ranking position) or 'ein hohes Tier' (literally: a high animal; colloquial for an important person).
Er hat einen hohen Rang beim Militär.
He has a high rank in the military.
In music or speech, 'hoch' (high) describes a high frequency. Typical combinations are 'eine hohe Stimme' (a high voice) or 'ein hoher Ton' (a high note/sound).
Das Baby macht ganz hohe Geräusche.
The baby is making very high-pitched noises.
long
'lang' and 'hoch' both describe a large extent, but in different directions. 'lang' means an extent in length, for example from left to right or from one end to the other. 'hoch' means an extent upward, that is, height. You can confuse the words when talking about measurements. A tower is 'hoch' (high / tall), while a rope is 'lang' (long). For people, you usually say 'groß' (tall), not 'hoch' and not 'lang'.

Im Park steht eine hohe Mauer neben dem Spielplatz.
There is a high wall in the park next to the playground.
Für das Zelt brauchen wir ein langes Seil.
We need a long rope for the tent.