In order to find the length of the bridge, we can use the tangent relation of the angle 50°.
The tangent relation is the length of the opposite side to the angle over the length of the adjacent side to the angle.
So we have that:
[tex]\begin{gathered} \tan (50\degree)=\frac{x}{10} \\ 1.1917=\frac{x}{10} \\ x=10\cdot1.1917 \\ x=11.917 \end{gathered}[/tex]
So the length of the bridge is 11.9 ft, therefore the correct option is A.
