Question

Find the gradient if the distance between two locations is 23.5 kilometers, but the starting elevation is 4.1 meters and it ends at an elevation that is 16.5 meters high. Show all work or explain how you were able to reach your answer using the gradient formula from your notes.

Answer 1

The gradient between two locations with different elevations can be found using the formula: gradient = (change in elevation) / (distance). The gradient in this case is approximately 0.000527 m/m or 0.0527%.

Step-by-step explanation:

To find the gradient, also known as the slope, between two locations with different elevations, we can use the formula:

gradient = (change in elevation) / (distance)

Given that the starting elevation is 4.1 meters and the ending elevation is 16.5 meters, the change in elevation is 16.5 - 4.1 = 12.4 meters. The distance between the two locations is 23.5 kilometers, which is equal to 23500 meters. Plugging these values into the formula, we have:

gradient = 12.4 / 23500

Simplifying this, we find that the gradient is approximately 0.000527 m/m or 0.0527%.