Answer:
The length of the section will have 125.8 m
Step-by-step explanation:
Right Triangle
The section of the railroad track rises a height of h=6.8 m for a horizontal run of x=125.6 m.
The height and the horizontal run are the legs of a right triangle which hypotenuse L is the required length of the section of the railroad track.
Applying Pythagora's Theorem:
[tex]L^2=h^2+x^2[/tex]
[tex]L^2=6.8^2+125.6^2[/tex]
[tex]L^2=46.24+15775.36=15821.6[/tex]
[tex]L=\sqrt{15821.6}=125.8[/tex]
The length of the section will have 125.8 m