Question

How long will a section of a railroad track be if it rises 6.8m for a run of 125.6 m

Answer 1

The length of the section will have 125.8 m

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:

`L^2=h^2+x^2`

`L^2=6.8^2+125.6^2`

`L^2=46.24+15775.36=15821.6`

`L=√(15821.6)=125.8`

The length of the section will have 125.8 m