Answer
$7204\ ft$
Work Step by Step
1. Use the given figure, assign a letter $C$ at the top (airplane), we can find the top angle as $C=57^\circ-52^\circ=5^\circ$
2. Use the Law of Sines, we have $\frac{sinA}{a}=\frac{sinC}{c}\longrightarrow \frac{sin52^\circ}{a}=\frac{sin5^\circ}{950}$, thus $a=\frac{950sin52^\circ}{sin5^\circ}$
3. The height of the airplane is given by $h=(\frac{950sin52^\circ}{sin5^\circ})\ sin57^\circ\approx7204\ ft$
