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 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