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Lisa!
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The height limit for humans to climb without supplemental oxygen is approximately 8,000 meters or 26,247 feet, which is equivalent to 10km. This is because at this altitude, the air becomes significantly thinner and contains less oxygen, making it difficult for the human body to function properly.
Gravity is a fundamental force that pulls objects towards the center of the Earth. As we climb higher, the gravitational force becomes weaker, making it harder for our bodies to function. This combined with the decrease in oxygen at higher altitudes makes it nearly impossible for humans to climb higher than 10km without the aid of supplemental oxygen.
While technology has advanced and allowed us to climb higher than ever before, it is still limited by the effects of gravity. Even with advanced equipment, humans are not able to withstand the harsh conditions and lack of oxygen at altitudes higher than 10km. However, technology such as pressurized cabins in airplanes and spacesuits have enabled us to briefly travel above this limit.
There are some organisms, such as certain types of birds and insects, that can survive at altitudes higher than 10km. However, these organisms have adapted to the extreme conditions at high altitudes and have different physiological mechanisms to cope with the lack of oxygen and low temperatures.
It is highly unlikely that humans will be able to climb higher than 10km without the aid of advanced technology. The human body is simply not designed to function at such extreme altitudes. However, advancements in technology may allow us to explore higher altitudes and potentially even settle on other planets with different gravitational forces.