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Chapter 13: Problem 10

The elevation of the Fraser River at Hope is 41 meters. From there it flows approximately 147 kilometers to the sea. What is the average gradient of the river (meters per kilometre) over that distance?

Short Answer

Expert verified
The average gradient of the Fraser River from Hope to the sea is approximately \(0.2786\) meters per kilometer.

Step by step solution

01

Understand the formula for gradient

The gradient represents the change in elevation over a specific distance, and it's calculated by dividing the change in elevation by the distance. The formula is: Gradient = \(\frac{\text{Change in Elevation}}{\text{Distance}}\)
02

Identify the given values in the problem

In this exercise, we are given: - The elevation at Hope: 41 meters - The distance from Hope to the sea: 147 kilometers
03

Calculate the average gradient of the river

Now, we can calculate the average gradient by substituting the given values into the gradient formula: Gradient = \(\frac{\text{Change in Elevation}}{\text{Distance}}\) = \(\frac{41\text{ meters}}{147\text{ kilometers}}\) It's important to note that the elevation is given in meters, and the distance is given in kilometers. As the problem asks for the gradient in meters per kilometer, we don't need to convert the units.
04

Perform the calculation

Now that the given values are inserted into the formula, we proceed to the calculation: Gradient = \(\frac{41\text{ meters}}{147\text{ kilometers}}\) ≈ \(0.2786\) So the average gradient of the Fraser River from Hope to the sea is approximately \(0.2786\) meters per kilometer.

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Most popular questions from this chapter

There is a 65 -year record of peak annual discharges on the Ashnola River near Princeton, B.C. During this time, the second highest discharge was \(175 \mathrm{~m}^{3} / \mathrm{s}\). Based on this information, what is the recurrence interval (Ri) for that discharge level, and what is the probability that there will be a similar peak discharge next year?

What type of rock, and what processes, can lead to the formation of a trellis drainage pattern?

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Why do many of the streams in the southwestern part of Vancouver Island flow to the ocean as waterfalls?

How do B.C.'s coastal streams differ from most of the rest of the streams in Canada in terms of their annual flow patterns? Why?
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