Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below.
$
P(h)=P_0 \cdot e^{-0.00012 h}
$

In this function, $P_0$ is the air pressure at the surface of the Earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal $50 \%$ of the air pressure at the surface of the Earth?
A. $5776.2 m$
B. $4166.7 m$
C. $0.59 m$
D. $2148.9 m$