As elevation ($A$A metres) increases, atmospheric air pressure ($P$P pascals) decreases according to the equation $A=15200\left(5-\log P\right)$A=15200(5−logP).
Trekkers are attempting to reach the $8850$8850 m elevation of Mt Everest’s summit. When they set up camp at night, their barometer shows a reading of $45611$45611 pascals. How many more vertical metres do they need to ascend to reach the summit?
Give your answer to the nearest metre.
Use curve fitting, log modelling, and linear programming techniques
Form and use trigonometric, polynomial, and other non-linear equations
Apply linear programming methods in solving problems
Apply trigonometric methods in solving problems