Answer
See below
Work Step by Step
Given: $P=14.7e^{-0.0004h}$
Solving $h$ for $P=12$, we have: $12=14.7e^{-0.0004h}\\e^{-0.0004h=\frac{12}{14.7}}\\\ln e^{-0.00044h}=\ln\frac{12}{14.7}\\-0.0004h=\ln\frac{12}{14.7}\\h\approx507.35 ft$
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