Question

oth the air temperature and the dew point decrease at a constant rate as the altitude above ground level increases. If the​ ground-level temperature and dew point are T0 and D0​, ​respectively, the air temperature at an altitude of x miles can be approximated by ​T(x)equals=T0minus−​19x, and the dew point can be approximated by ​D(x)equals=D0minus−5.8x. Suppose the​ ground-level temperature is 6565​°F and the dew point is 5454​°F. Note that clouds will not form at altitudes for which the air temperature is above the dew point. ​(a) Use the​ intersection-of-graphs method to estimate the altitudes at which clouds will not form. ​(b) Solve part ​(a) analytically When the air temperature reaches the dew​ point, fog may form. This phenomenon also causes clouds to form at higher altitudes. Both the air temperature and the dew point decrease at a constant rate as the altitude above ground level increases. If the​ ground-level temperature and dew point are T0 and D0​, ​respectively, the air temperature at an altitude of x miles can be approximated by ​T(x)equals=T0minus−​19x, and the dew point can be approximated by ​D(x)equals=D0minus−5.8x. Suppose the​ ground-level temperature is 6565​°F and the dew point is 5454​°F. Note that clouds will not form at altitudes for which the air temperature is above the dew point. ​(a) Use the​ intersection-of-graphs method to estimate the altitudes at which clouds will not form. ​(b) Solve part ​(a) analytically

Answer 1

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