Final answer:
To estimate the temperature at a height of 1.5 km, you subtract the product of the altitude (1.5 km) and the standard lapse rate (6.5 K/km) from the temperature at sea level (293 K); resulting in an approximate temperature of 283.25 K.
Step-by-step explanation:
The question pertains to the lapse rate in the Earth's atmosphere, which is a Physics concept. The question can be understood in two parts: the first concerns the changing temperature with altitude, and the second requires estimating the pressure at a specific height above the Earth's surface. To find the temperature at a height of 1.5 km, knowing that the temperature decreases with height at a standard lapse rate of 6.5 K per km, we can use the following relationship:
T1 = T0 - (lapse rate × height)
Where T0 is the initial temperature at the surface level (293 K) and the height is 1.5 km:
T1 = 293 K - (6.5 K/km × 1.5 km)
T1 = 293 K - 9.75 K
T1 = 283.25 K
Thus, the estimated temperature at a height of 1.5 km is approximately 283.25 K.