Question

the ground temperature at an airport is 13 C. The temperature decreases by 5.6 C for every increase 1 kilometer above the ground. what is the temperature outside a plane flying at an altitude of 5 kilometers?

Answer 1

Let the ground temperature is given as

$T_0=13^0c$

For 1 km above the ground, the temperature decreases by 5.6 c. To calculate the decrease in temperature after 5 km,

$\begin{gathered} For1km=5.6^0c \\ For5\text{ km=5}\times5.6 \\ 5\text{ km=}28^0c \end{gathered}$

So for increase in 5 km above the ground, the temperature will decrease by 28 degree c. Thus the final temperature T will be,

$\begin{gathered} T=T_0-28 \\ T=13-28 \\ T=-15^0c \end{gathered}$

Hence the temperature outside a plane flying at an altitude of 5 kilometers is -15 degree celsius.