10. As shown in Figure 2, there are two utility poles $A B$ and $(I)$ on the construction site. They are $15 \mathrm{~m}$ apart, and points $A$ and $(I)$ are $4 \mathrm{~m}$ and $6 \mathrm{~m}$ above the ground, respectively. Steel cables are stretched from these points to points $E$ and $D$, and from $B$ and $F$ on the ground, to secure the utility poles. The intersection point of the steel cables $A D$ and $B C^{\prime}$ is $P$. The height of $P$ above the ground is $\qquad$ $\mathrm{m}$.
$10 . \frac{12}{5}$ (or 2.4 )