The antonyms for the word "low set" are high set, raised, elevated, towering, and lofty. These words represent the opposite in meaning of low set, which denotes a position or placement near the ground level. High set, on the other hand, suggests the position, placement or arrangement that is considerably above the ground level. Raised implies that something is lifted or increased from its original position or level. Elevated means placed at a higher level or more importantly, something that has been praised, admired or recognized. Towering and lofty both suggest great height or grandeur in the placement, structure, or positioning of an object or person.