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The phrase "a height of roughly" is correct and usable in written English.
It can be used when providing an approximate measurement or estimation of height.
Example: "The mountain reaches a height of roughly 2,500 meters."
Alternatives: "an approximate height of" or "a height of about".
Exact(2)
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For the best lighting results, pendant lights should be hung at a height of roughly 60 to 66 inches above the floor, or 30 inches above the surface of a table.[20] Never install pendant lights from a ceiling where they will hang low enough for people to walk into them.
Similar(58)
The photo of the whole figure of the snake was taken into the frame using a camera that was positioned at a height of approximately 1.6 m, at a roughly 70– to 75-degree angle towards the target snake in relation to the horizontal plane.
Today, a more refined version of the writing and reading heads that descended from Dr. Bajorek's research "fly" over the disk surface at a height of about 150 angstroms (an angstrom is roughly the width of a single hydrogen atom).
It spouts a column of boiling water and steam to a height of about 30 to 55 metres (100 to 180 feet) on a roughly 90-minute timetable.
The numerical value of J2, o is approximately 0.001; for a satellite at the height of roughly 740 kilometres, with i = 20°, equation (9) gives ω as 6.5° per day.
The Ferrari F2012 racer, unveiled in February, was called "not aesthetically pleasing" by the team's directors, an admission that there were few ways to work around the safety regulation, which required the front end to not exceed a height of 55 centimeters, or roughly 22 inches.
At night the absorption is low since little plasma exists at the height of roughly 100 kilometres where absorption is greatest.
These monster waves reached terrifying heights of roughly 2 centimeters, the authors wrote.
Under the settlement, the buildings will be limited to a maximum height of 69 feet, roughly the height of the trees atop the cliffs, minimizing their impact on the Palisades viewshed.
David Stern is a man of roughly average height, but on an annual basis he has been made to seem very small.
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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