Some altimeters make use of changes in air pressure to determine height. If the pressure is $100\,\text{kPa}$ at sea level on a particular day, what pressure would be found at the top of an $830\,\text{m}$ hill? (Assume the density of air remains constant at $1.3\,\text{kg m}^{-3}$.)
- A$1.1\,\text{kPa}$
- B$11\,\text{kPa}$
- C$89\,\text{kPa}$
- D$110\,\text{kPa}$