The phrase "a sheer drop of" is correct and usable in written English.
It can be used to describe a steep or vertical drop, often in the context of geography or physical landscapes.
Example: "The hikers stood at the edge of the cliff, staring down at the sheer drop of several hundred feet."
Alternatives: "a steep drop of" or "a vertical drop of".
This rock is perched on a cliff, behind which is a sheer drop of 500-600ft.
These, I was told, included getting crushed by falling rocks, being poisoned by a gas leak, and plunging over a sheer drop of a hundred feet or more.
After a sheer drop of 741 feet (226 m) over the edge of a sandstone plateau, the falls have eroded a gorge, 5 miles (8 km) long, that descends another 81 feet (25 m).
It was the place where I learned to ski when I was 12 years old, coaxed by an outdoorsy cousin onto a trail that looked, to my novice eyes, like a sheer drop of ice and snow.
Here numbers of men were watching from below to see which way the pack would take when, to the astonishment of everyone, the fox came with a great leap right over Policeman Crag, a sheer drop of about 200 feet.
Like the Edge, one of Ae Line's signature sections, where the trail carves along the top of a sheer drop of a couple of hundred feet down to the river.
Even by the light of my head torch, I knew it was a sheer drop to the faint, twinkling lights of civilization almost 4,000 metres below.
Vast windows overlook a sheer drop to the crater floor and a panorama that stretches forever.
When we looked down at a smallish stagnant pool, and then saw the glimmering black surface of a lake, perhaps a hundred metres long, down at the foot of a sheer drop from the level of our path, it was easy to understand the folklore associations.
A cousin who knew that a sheer drop was on the other side of the wall ran over to stop Luis, Lieutenant Cirillo said.
I've since had a recurring nightmare about being stuck at the top of a mountain, with a sheer drop just inches from the piste.
