Question

is entropy depended on height

Answer 1

No, the height of a system does not affect its entropy.
Depending on what level of thermo you are taking, and whether it is being taught by a chemist or physicist, the explanation is different, though they are all ultimately equivalent.
Entropy is a measurement of a system's randomness. The height does not change the randomness of a system (simplest explanation)
Entropy can be calculated from the number of particles and system temperature. The height of a system does not affect its temperature or number of particles (chemist).
Entropy is defined to be related to the available number of quantum microstates a system can occupy. The height of a system does not affect the available microstates of the system (physicist).