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How long is 0.003 inches?

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It's about 0.0000005 times as tall as Blackpool Tower.
In other words, 0.003 inches is 0.0000004820 times the height of Blackpool Tower, and the height of Blackpool Tower is 2,070,000 times that amount.
(Blackpool, Lancashire, England, United Kingdom) (height to peak)
Blackpool Tower, part of an entertainment complex in Blackpool, Lancashire, England, measures 6,220 inches to its peak. Under ideal conditions, visitors to the highest accessible point of the tower can see as far as the Isle of Man — 3,780,000 inches to the northwest.
It's about 0.0000005 times as long as The Seventeenth hole of Pebble Beach.
In other words, 0.003 inches is 0.000000470 times the length of The Seventeenth hole of Pebble Beach, and the length of The Seventeenth hole of Pebble Beach is 2,130,000 times that amount.
(fully Pebble Beach Golf Links) (Pebble Beach; Monterey, California) (from Blue Tee)
The seventeenth hole on Pebble Beach Golf Links is a par 3 measuring 6,380 inches from the blue tee. This hole was the site of professional golfer Jack Nicklaus' 1972 U.S. Open win, which included a 1-iron shot that bounced off the hole's flag and resulted in a birdie.
It's about 0.0000005 times as tall as The Singapore Flyer (Ferris wheel).
In other words, 0.003 inches is 0.0000004620 times the height of The Singapore Flyer (Ferris wheel), and the height of The Singapore Flyer (Ferris wheel) is 2,160,000 times that amount.
(a.k.a. 新加坡摩天观景轮, a.k.a. சிங்கப்பூர் ஃப்ளையர், a.k.a. Pelayang Singapura) (Marina Centre, Singapore)
The Singapore Flyer has a height of 6,500 inches. Based on recommendations from Feng Shui masters, the wheel was re-engineered to spin in the opposite direction five months after it began operating.
It's about 0.0000005 times as tall as The Washington Monument.
In other words, 0.003 inches is 0.000000450120 times the height of The Washington Monument, and the height of The Washington Monument is 2,221,600 times that amount.
(Washington, D.C.)
The Washington Monument measures 6,665 inches tall, with some discrepancy due to the fact that the Monument's base is slightly below the surrounding ground. Interrupted in its construction by the American Civil War, it was almost 36 years between groundbreaking and the completion of construction.
It's about 0.0000005 times as tall as St. Paul's Cathedral.
In other words, 0.003 inches is 0.0000004380 times the height of St. Paul's Cathedral, and the height of St. Paul's Cathedral is 2,280,000 times that amount.
(London, England, United Kingdom)
St. Paul's Cathedral measures 6,850 inches to its peak. The southwest tower of the Cathedral contains the bell known as "Great Paul," which is the largest bell in Great Britain at 15,000 kg (16.5 tons), outweighing the more iconic Big Ben bell by about 3,000 kg (3 tons).
It's about 0.0000004 times as tall as The Space Needle.
In other words, 0.003 inches is 0.0000004140 times the height of The Space Needle, and the height of The Space Needle is 2,420,000 times that amount.
(Seattle, Washington) (to aircraft warning beacon at peak)
Built for a 1962 World's Fair, the Space Needle stands 7,240 inches tall. With a track-and-wheel design inspired by railroad mechanics and a precisely-configured balance, the restaurant near the top of the space needle requires just a 1.5 hp motor to rotate at speeds of about 0.053 kph (0.033 mph).
It's about 0.0000004 times as tall as The Golden Gate Bridge.
In other words, 0.003 inches is 0.0000003360 times the height of The Golden Gate Bridge, and the height of The Golden Gate Bridge is 2,980,000 times that amount.
(San Francisco, California and Marin County, California) (height above water)
The height of each tower of Golden Gate Bridge is 8,940 inches above the surface of the San Francisco Bay. One of the key designers of the bridge, Charles Ellis, had no engineering degree when he began working on the project, but would later go on to write what became a standard textbook on structural engineering, and would ultimately be forced to complete his calculations on the bridge by working without pay for five months.