To find the horizontal distance $x$ between the two hot-air balloons, we can use trigonometry. Specifically, we'll use the tangent function, which relates the angle of elevation to the opposite and adjacent sides of a right triangle.

Step-by-Step Solution

1. Define the variables:

   • Height of the left balloon: $h_1 = 48.2 \, \text{m}$
   • Height of the right balloon: $h_2 = 61.0 \, \text{m}$
   • Angle of elevation from the left balloon to the right balloon: $\theta = 13.3^\circ$
   • Horizontal distance between the balloons: $x$ (what we need to find).

2. **Calculate the vertical difference in height between