The phrase "high monument" is correct and usable in written English.
You can use it to refer to a tall monument or structure, such as a building, statue, obelisk, etc. For example: The Washington Monument is a high monument recognizable in the skyline of the US capital.
The root of this leaning architecture can be found in the mesmerising, although unbuilt, 400-metre high Monument to the Third International designed by Vladimir Tatlin shortly after the Bolshevik revolution.
Seven major arteries pump automobiles around the great paved space, which is dominated by Nelson's Column (1839 43), a 185-foot (56-metre) high monument to Lord Nelson that includes a 17-foot (5-metre) high statue of him by E.H. Baily.
Police said they were attempting to trace the operator of the remote aircraft, who was within the grounds of the 67m (220ft) high monument at the time.
A 10 m high monument created by artist Miodrag Popović was erected on the banks of the Sava in 1995.
A new 24 m high monument, the "Monument Nungesser et Coli", was erected in 1963 atop one of the cliffs.
Unveiled in 1935, the 42 m high monument of granite, travertine, and copper often serves as the focal point of public gatherings and official ceremonies in Riga.
Perhaps High Point park's most striking feature, winter or summer, is its 220-foot-high monument.
There, a new six-foot-high monument made of stone was officially unveiled.
The 12-foot-high monument, representing bookshelves with the pages facing outward, was designed by the British artist Rachel Whiteread.
Its 37m-high monument, dedicated to the "liberation of Tibet from the imperialists", conveys an imperial signal of contempt.
Visitors have regularly been arrested and fined for relieving themselves on the 138ft-high monument, or climbing on it naked to pose for pictures.
