The phrase "a height of almost" is correct and usable in written English.
It can be used when describing a measurement that is close to a specific height but not quite reaching it.
Example: "The mountain reached a height of almost 3,000 meters, making it one of the tallest peaks in the region."
Alternatives: "an elevation of nearly" or "a stature of about".
It once rose to a height of almost 15 metres, half the height of Silbury near Avebury.
It has a height of almost 900 m; two data cables run along the full length of the structure.
Measuring 50 by 80 feet and sloping to a height of almost 30 feet, the pile first appears to be the aftermath of an earthquake.
Older dunes, however, are in a semi-stabilized or stabilized condition, and many rise to a height of almost 500 feet (150 metres) above the surrounding areas.
The herbaceous peonies are perennials that grow to a height of almost 1 m (about 3 feet) and have large, glossy, much-divided leaves borne on annual stems produced by fleshy rootstocks.
You can follow the track for more than seven miles to Redlake, rising steadily all the way to a height of almost 1,500ft.
It was flying steadily at a height of 6,175ft – almost exactly the altitude at which the debris that is now all that remains of the Airbus lies scattered on the mountainside.
The five columns, around six kilometres offshore from the Apostles, have an average height of almost five metres compared with the visible stacks which average 45m.
As the water continued to rise in the one-story house, to an eventual height of almost five feet, they moved to the attic.
Jimsonweed grows to a height of 1 to almost 2 metres (up to 6.5 feet) and is commonly found along roadsides or other disturbed habitats.
The low density and large radius of HATS-8b results in an atmospheric scale height of almost 1000 km, and in addition to this there is an excellent reference star of nearly equal magnitude at just 19″ separation in the sky.
