SOLUTION: The altitude of an aircraft, h, in miles, is given by h=-(100/9)logp/b, where P = the outside air pressure, and B = the atmospheric pressure at sea level. Let B = 31 inches of merc

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The altitude of an aircraft, h, in miles, is given by h=-(100/9)logp/b, where P = the outside air pressure, and B = the atmospheric pressure at sea level. Let B = 31 inches of merc      Log On


   



Question 446452: The altitude of an aircraft, h, in miles, is given by h=-(100/9)logp/b, where P = the outside air pressure, and B = the atmospheric pressure at sea level. Let B = 31 inches of mercury (in. Hg). What is the outside air pressure at a height of 3.6 miles? Round your answer to the nearest tenth.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h+=+-%28100%2F9%29log%28p%2Fb%29+
given:
+b+=+31+
+h+=+3.6+
----------------
+3.6+=+-%28100%2F9%29log%28p%2F31%29+
+3.6%2A.09+=+-1%2Alog%28p%2F31%29+
+.324+=+log%2831%2Fp%29+
+.324+=+log%2831%29+-+log%28p%29+
+log%28p%29+=+log%2831%29+-+.324+
+log%28p%29+=+1.4914+-+.324+
+log%28p%29+=+1.1674+
+p+=+14.7+ to nearest tenth