Given that slope =0.06.
The triangle is a right-angled triangle with base x and height y.
Here r is the length of the deck of the bridge.
y=the exact rise of the bridge.
x= the run of the bridge,


By using the Pythagorean theorem, we get the length r as follows.
![r=\sqrt[]{x^2+y^2}](https://img.qammunity.org/2023/formulas/mathematics/college/fl4mkq1bepwnoeb172yxz2q4hkwakpg1gh.png)
Substitute x=50 and y=3, we get
![r=\sqrt[]{50^2+3^2}=\sqrt[]{2500+9}=\sqrt[]{2509}=50.089](https://img.qammunity.org/2023/formulas/mathematics/college/r2cobab8rtywrlxilgol3ph0fkhbe0f8cw.png)
The length of the bridge is 50.09.