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Discover Ludwig"vertical distance" is a correct and usable phrase in written English.
You could use it to refer to the distance between two objects that is measured along an imaginary line that is perpendicular to the horizon. For example: "The vertical distance between the two skyscrapers was over 200 meters."
Exact(60)
In the Pyrenees and the Alps, they climb a vertical distance equal to three Mount Everests.
It all looks like a telephoto shot, the unfamiliar vertical distance baffling the eye.
The jet stream results from horizontal differences in temperature that exist over a considerable vertical distance through the troposphere.
Lifting his body only three inches with each step would result in a cumulative vertical distance of two miles -- punishing work.
In January, to accommodate more airplanes, the European authorities reduced the minimum vertical distance between planes from 2,000 to 1,000 feet.
(Later, he described the floor-bound encounter with Johnson as "the biggest vertical distance between a scribe and an athlete ever").
Vertical distance (m).
vertical distance between two fixed trays (m).
Vertical distance between bogie center of gravity and primary suspension.
Vertical distance between inlet and exit of the collector pipe.
Vertical distance between bogie center of gravity and secondary suspension.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com