Final answer:
The atmospheric pressure at 10,000 meters above sea level is significantly lower than at sea level and the closest approximation is 30 kPa (Option C), correlating to the pressure values observed at the summit of Mt. Everest which is at a similar altitude.
Step-by-step explanation:
The question "What would the air pressure be at 10,000 meters above sea level?" concerns the variation of atmospheric pressure with altitude which is a fundamental concept in Physics. Atmospheric pressure at sea level averages 101 kPa. As altitude increases, the atmospheric pressure decreases because there is less air above a given area to exert downward force. At 10,000 meters above sea level, the pressure is significantly reduced. Comparing the atmospheric pressure value given for the summit of Mt. Everest, which is close to 10,000 meters, we see that it's 253 mm Hg. In kilopascals, the pressure value at Everest can be roughly equated to 33.7 kPa (since 760 mm Hg corresponds to 101 kPa, and 253 mm Hg will be approximately 33.7 kPa).
Therefore, the closest answer to the atmospheric pressure at 10,000 meters above sea level is 30 kPa (Option C). The pressure is not the same as at sea level, nor does it increase with altitude, nor does it drop as drastically as to 1.0 kPa at that height.