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−`l``o``g``P`).

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.

Easy

Approx 3 minutes

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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