If the slope of a riverbed is 1:1000, what is the vertical drop over a distance

If the slope of a riverbed is 1:1000, what is the vertical drop over a distance of 2 km? (2000)

If the slope of a riverbed is 1:1000, what is the vertical drop over a distance of 2 km? (2000)

Step 1: Understand the slope of the riverbed, which is given as 1:1000. This means for every 1000 units of horizontal distance, there is a vertical drop of 1 unit.
Step 2: Convert the distance from kilometers to meters. Since 1 kilometer is equal to 1000 meters, 2 kilometers is equal to 2000 meters.
Step 3: Use the formula for vertical drop, which is Vertical drop = Distance × Slope.
Step 4: Substitute the values into the formula. Here, Distance is 2000 meters and Slope is 1/1000.
Step 5: Calculate the vertical drop: 2000 m × (1/1000) = 2 m.
Step 6: Conclude that the vertical drop over a distance of 2 km is 2 meters.

Slope Calculation – Understanding how to apply the slope ratio to calculate vertical drop over a given horizontal distance.
Unit Conversion – Recognizing the need to convert distances into consistent units (meters in this case) for accurate calculations.