The phrase "attain height" is correct and usable in written English.
It can be used in contexts where you are discussing reaching a certain level or elevation, either literally or metaphorically.
Example: "The climbers worked tirelessly to attain height on the steep mountain face."
Alternatives: "reach elevation" or "achieve altitude".
Stems of black walnut trees attain heights of nearly 50 metres (about 165 feet).
They may attain heights of several hundred metres and measure thousands of metres across.
Several pyramidal dunes in the Sahara attain heights of nearly 500 feet, while draa, the mountainous sand ridges that dominate the ergs, are said to reach 1,000 feet.
A few species in warmer climates, such as the purpleberry cotoneaster (C. affinis), Cooper's cotoneaster (C. cooperi), and the tree cotoneaster (C. frigidus), attain heights of 4.5 6 metres (15 20 feet).
Bamboo culms can attain heights ranging from 10 to 15 cm (about 4 to 6 inches) in the smallest species to more than 40 metres (about 130 feet) in the largest.
Thorny trees in those regions may attain heights of up to 30 feet (9 metres) and form barriers with their interlocking branches that even leather-clad vaqueiros ("cowboys") cannot penetrate.
In addition, we conclude that the lengths of SWCNTs in forests that attain heights of 1,500 μm were close to that of the forest height.
Two pinnacles of volcanic rock 5 km south of Mount Garibaldi's summit, which attain heights of 1816 m and 1823 m, have been known as The Gargoyles since 1978.
In these areas, red alders, which live for about 100 years, have begun to die, and the Douglas-firs, which can live for 750 years, attain heights up to about 240 feet.
Description: A medium to large sized, much branched, evergreen tree that can attain heights up to 30 m. Presence of well-developed buttresses, which develop into plank roots, is a characteristic feature of this species.
