The U2 spy plane was designed to fly at altitudes of up to $21,000 mathrm{~m}$. Its wing

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The U2 spy plane was designed to fly at altitudes of up to $21,000 \mathrm{~m}$. Its wing span was so large that special wheels were incorporated within the wings to keep them from scraping the runway when taking off, landing, or being parked. If the air temperature at sea level is $25^{\circ} \mathrm{C}$, drops off at a rate of $5 \times 10^{-3} \mathrm{~K} / \mathrm{m}$ and the pressure at sea level is $1.03 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$, what is the temperature and pressure at the airplane's height? The molecular weight of air is $29 \mathrm{~kg} / \mathrm{kmole}$.

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