2023 ACSBR EM S1 EOY P1 Q9

The formula below can be used to estimate the air temperature at different heights above sea level.

\(T=20-\frac{h}{110}\)

where \({T}\) is the temperature in degrees Celsius,

and \({h}\) is the height, in metres, above sea level.

1. A hot air balloon records the air temperature as \({0^\circ\mathrm{C}}\).
   Use the formula to estimate the height of the hot air balloon above sea level.[1]
2. A man is standing on a hill. The difference in the temperatures between the man and the
   hot air balloon is \({15^\circ\mathrm{C}}\). Estimate the difference in the heights between the man and the hot air balloon.[3]