SOLUTION: The atmospheric pressure p in pounds per square inch (psi) is given by P=14.7e^0.21a Where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 1

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Question 941587: The atmospheric pressure p in pounds per square inch (psi) is given by P=14.7e^0.21a
Where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is the altitude? (1mile = 5,280 ft. Round the answer to the nearest foot.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
P=14.7e%5E0.21a
Solve the equation for a:
P%2F14.7=e%5E-.21a
Natural log of e is one, so:
ln%28P%2F14.7%29=%28-0.21a%29%281%29
ln%28P%2F14.7%29%2F-0.21=a
Substitute for P
ln%2813.25%2F14.7%29%2F-0.21=a
ln%280.9014%29%2F-0.21=a
%28-0.1038%2F-0.21%29=a
0.4943mi=a
Convert to feet
a=0.4943mi%285280ft%2F1mi%29=2610feet