General Idea:
The slope is given by rise over run. The change in y-axis with respect to change in x-axis is described as slope.
[tex] Slope =\frac{Rise}{Run} [/tex]
Applying the concept:
Given that the slope is 0.06, we should try to rewrite it as a fraction
[tex] 0.06=\frac{6}{100}=\frac{3}{50}=\frac{Rise}{Run} [/tex]
So if we form a right triangle as shown in the figure, then slope provides us the information that the base of the bridge is 50 and height of the bridge is 3, Now we need to find the hypotenuse using the Pythagorean theorem to get the length of the bridge.
[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}
Conclusion:
Length of the bridge is 50.08 approximately
