NICET - Highway Construction Inspection Practice Exam

Question: 1 / 400

If a road has a grade of 2% with an elevation of 1252 at station 450+20, what will be the elevation at station 455+30?

1257.2

1262.0

1262.2

To determine the elevation at station 455+30 given a 2% grade starting from an elevation of 1252 at station 450+20, it is important to understand how the grade percentage translates to the rise in elevation over a distance.

A grade of 2% means that for every 100 horizontal units of distance, the elevation changes by 2 units.

First, calculate the horizontal distance between the two stations. The station numbers translate to the following distances:

- Station 450+20 is equivalent to 45020 feet.

- Station 455+30 is equivalent to 45530 feet.

The difference in distance is:

45530 - 45020 = 510 feet.

Next, since the road has a 2% grade, the elevation change can be calculated as:

Elevation change = (Grade × Horizontal distance)/100

Elevation change = (2 × 510)/100 = 10.2 feet.

Now, add the elevation change to the starting elevation:

Ending elevation = Starting elevation + Elevation change

Ending elevation = 1252 + 10.2 = 1262.2 feet.

This calculation gives us the correct elevation at station 455+30, which is 1262.2

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1270.0

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