Let's start by finding the decrease in pressure for every 1000-m increase in altitude. We know that the pressure decreases by 11.5% for every 1000-m increase.
So the pressure decreases by 11.5/100 * 101 kPa = 11.65 kPa for every 1000-m increase.
To find the pressure at an altitude of 5000 m, we need to multiply the decrease in pressure by the number of 1000-m increases. Since we have 5 increments of 1000 m, we can multiply the decrease in pressure by 5.
Therefore, the pressure at an altitude of 5000 m is 5 * 11.65 kPa = 58.25 kPa. Answer: \boxed{58.25}.
The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.5%. What is the pressure at an altitude of 5000 m?
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