Mount Everest's height was first determined through mathematical calculation rather than physical measurement, when Indian mathematician Radhanath Sikdar, working as a computer for the Great Trigonometrical Survey of India, proved in 1852 that Peak XV (later named Mount Everest) was definitively higher than Kangchenjunga at 29,002 feet, using trigonometric data collected from observation stations over 200 km away due to political restrictions on entering Nepal and Tibet.
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In the early 19th century, the Himalayas [music] were largely seen as an imposing, impassable wall of rock and ice. To European mapmakers, [music] the undisputed roof of the world was a mountain called Kangchenjunga.
But the British Empire wanted exact [music] measurements. In 1802, they launched the Great Trigonometrical Survey of India, an [music] ambitious, decades-long project to mathematically map the entire Indian subcontinent.
There was an enormous political hurdle, though.
>> [music] >> The highest peaks lay deep within the borders of Nepal and Tibet, and both nations [music] were strictly closed to foreign explorers.
These restrictions forced the expedition to rely entirely on trigonometry.
>> [music] >> To map the mountains, surveyors had to calculate distances and elevations across national borders >> [music] >> from hundreds of miles away.
Denied entry, the survey teams adapted.
They set up observation stations in neighboring territories, forcing [music] them to sight the mountains from more than 200 km away. Their primary tool for this [music] was the theodolite, an advanced optical instrument used to measure horizontal and vertical angles across vast distances. [music] In November 1847, Andrew Waugh and his team noticed a massive, unmapped, distant [music] peak, later designated Peak 15.
Proving its precise height required years of complex [music] formulas to account for the Earth's curvature and the way light bends through the atmosphere.
Peak 15 entered the historical record as a blurry anomaly caught in a glass lens.
>> [music] >> The initial discovery was a product of calculation rather than physical exploration.
>> [music] >> In 1852, the investigation moved to an office in Calcutta.
Radhanath Sikdar, a 19-year-old Indian mathematical prodigy, was tasked with processing the data. [music] Sikdar was employed by the survey as a computer, a person whose literal job was to manually calculate the mountains of raw trigonometric data the field [music] team sent back.
Sitting hundreds of miles from the Himalayas, Sikdar finalized his work.
>> [music] >> His calculations proved that Peak XV was definitively higher than Kangchenjunga.
>> [music] >> This chart shows the heights of the area's tallest peaks.
Sikdar's math pinned Peak XV [music] at exactly 29,000 ft. Worried the public would think such a round [music] number was a lazy guess, Waugh added 2 ft, officially recording it at 29,002.
The ultimate physical truth of the planet had been definitively proven in the abstract through the sheer force of human mathematics.
>> [music] >> While new to the British, the mountain already had a history. The local Tibetan and Nepali populations had centuries-old names for it, >> [music] >> including Chomolungma and Sagarmatha.
Despite these existing names, [music] Waugh chose to ignore local tradition.
He formally christened Peak XV after his retired predecessor at the survey, >> [music] >> Sir George Everest. Sir George Everest actually protested this, arguing the locals couldn't pronounce his name, and that he had never even seen the peak.
[music] Meanwhile, Radhanath Sikdar, the man who mathematically discovered it, [music] was largely forgotten.
With a name and a set of coordinates now fixed [music] on the map, the survey's data provided a concrete objective for the first mountaineers.
By 1921, the [music] quest to reach the top of the world had officially begun.
The first British [music] reconnaissance featuring climbers like George Mallory set out to close the 200-km gap.
With Nepal's borders closed, the team approached from the north, [music] navigating through completely uncharted Tibetan territory.
The logistics [music] were staggering.
The team hired Sherpas and loaded supplies onto yaks for a grueling 480-km march starting out in British India just [music] to find the true base of the mountain.
After weeks of hiking, they reached the Rongbuk Glacier.
For the first [music] time, explorers stood at the true physical base of the mountain they only knew as a number. The climbers had stepped off the map and into a lethal environment [music] where safe, distant observation was no longer possible.
The sterile figure [music] of 29,002 feet offered no warning about the physical toll of extreme altitude.
>> [music] >> To survive the thinning air, the team spent weeks ascending and descending just to adjust their bodies to [music] the height.
As Mallory and his team scouted the area, they realized the North Face and West Ridge were nearly impossible to scale, leaving [music] the North Col as their only viable route to the summit.
By late September, the conditions at 7,000 meters were violent. [music] The team huddled in flimsy, makeshift shelters while extreme gales threatened to tear them off the ice.
>> [music] >> The 1921 expedition didn't reach the summit, but they successfully mapped the critical North Col route, providing [music] the essential geographic knowledge for every future attempt. The identification of the world's highest peak was a dual achievement, born [music] in the brilliant mathematics of an Indian clerk and confirmed by the physical endurance of the first [music] climbers to touch its ice.
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