#### Answer

The distance between Pittsburgh and Panama City is 3462.7 km

#### Work Step by Step

We can find the angle $\theta$:
$\theta = 40^{\circ}-9^{\circ}$
$\theta = 31^{\circ}$
We can convert the angle $\theta$ to radians:
$\theta = (31^{\circ})(\frac{\pi~rad}{180^{\circ}}) = 0.54105~radians$
We can find the distance $d$ between Pittsburgh and Panama City:
$d = \theta~r$
$d = (0.54105~radians)(6400~km)$
$d = 3462.7~km$
The distance between Pittsburgh and Panama City is 3462.7 km