If a river has a slope of 1 in 1000, what is the vertical drop over a distance o

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Question: If a river has a slope of 1 in 1000, what is the vertical drop over a distance of 5 km?

Options:

Correct Answer: 5 m

Solution:

Vertical drop = Slope × Distance = (1/1000) × 5000 m = 5 m.

If a river has a slope of 1 in 1000, what is the vertical drop over a distance of 5 km?

If a river has a slope of 1 in 1000, what is the vertical drop over a distance of 5 km?

Step 1: Understand the slope. A slope of 1 in 1000 means that for every 1000 units of horizontal distance, the vertical drop is 1 unit.
Step 2: Convert the distance from kilometers to meters. 5 kilometers is equal to 5000 meters.
Step 3: Use the formula for vertical drop. The formula is: Vertical drop = Slope × Distance.
Step 4: Substitute the values into the formula. Here, Slope = 1/1000 and Distance = 5000 m.
Step 5: Calculate the vertical drop. Multiply (1/1000) by 5000 m to get the vertical drop.
Step 6: Perform the calculation: (1/1000) × 5000 = 5 m.

Slope Calculation – Understanding how to calculate vertical drop using the slope formula, which relates vertical change to horizontal distance.
Unit Conversion – Recognizing the need to convert distances into consistent units (meters in this case) when performing calculations.