Problem 19 What is map scale? In what three... [FREE SOLUTION]

Chapter 1: Problem 19

What is map scale? In what three ways may it be expressed on a map?

Short Answer

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A map scale is the ratio between a distance on a map and the corresponding distance on the ground. It can be expressed in three ways: (1) Ratio or Representative Fraction (RF), (2) Linear Scale (or graphical scale or bar scale), and (3) Verbal Scale (or word statement).

Step by step solution

Definition of Map Scale

Map scale refers to the relationship or ratio between a distance on a map and the corresponding distance on the ground. It essentially communicates the extent of reduction that happened to fit the real-world geography on a piece of paper or digital screen. In simpler words, it tells us 'how much' the real world has been shrunk to fit on the map.

Expressing Map Scale - Ratio or Representative Fraction

The first expression of map scale is in the form of a ratio or representative fraction (RF). In this form, both the numerator and denominator are expressed in the same units and represents the relationship between a unit of length on the map and the equivalent length on the actual surface of Earth. For example, an RF of 1:50,000 means one unit of measurement on the map equals to 50,000 of the same units on the ground.

Expressing Map Scale - Linear Scale

The second way to express map scale is through a linear scale, also known as graphical scale or bar scale. A line is drawn on the map. This line is divided up into smaller units of length (like centimeters or inches) with corresponding earth measurements next to them (like kilometers or miles). A user can use this line to measure distance between two places on the map.

Expressing Map Scale - Verbal Scale

The third way to express map scale is through a verbal scale, also known as word statement. A verbal scale is simply a sentence that states 'one map unit (like an inch or centimeter) equals [x] ground units (like miles or kilometers)'. For example, 'One inch equals four miles' is a verbal scale.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Representative Fraction

A representative fraction (RF) is a common way to express map scale using a simple ratio. This method uses two numbers separated by a colon, indicating how many units on the ground are equal to one unit on the map. For instance, an RF of 1:50,000 signifies that 1 unit (like a centimeter or inch) on the map translates to 50,000 of those units on the real ground surface.

Both numbers in the ratio use the same unit, ensuring a direct comparison.
The smaller the RF number, the bigger the scale of the map, meaning more detail is visible.
This expression of map scale is unitless, providing flexibility for users around the world.

Understanding RF is crucial for map accuracy and usage, as it enables us to gauge how geographic features are scaled down for mapping purposes. By using the RF effectively, map readers grasp the real-world distances between locations, enhancing navigation.

Linear Scale

Linear scale, also referred to as graphical or bar scale, uses a visual line to illustrate map scale. This line, often found at the bottom of the map, is divided into sections that correlate map distances with real-world distances.

The line helps users measure distances on a map with ease using a ruler or their fingers.
Each segment of the line might indicate a specific number of kilometers or miles on the ground.
It's particularly helpful as it remains accurate even if the map is resized, unlike other scale types.

For example, if a linear scale shows that a 1 cm segment equates to 5 km on Earth, measuring the map with a ruler can quickly help determine actual distances. It鈥檚 a user-friendly option for hands-on distance evaluation.

Verbal Scale

A verbal scale provides a straightforward, word-based description of map scale. This approach uses phrases or sentences to convey the scale relationship between the map and the ground.

Common phrases include '1 inch equals 1 mile', simplifying the scale understanding.
It leverages familiar language, avoiding the need for calculations like with RF.
Though compact and easy to understand, verbal scales need recalibration if the map is resized.

An example might read, 'One centimeter equals two kilometers,' which directly tells you how many ground units one map unit equals. This format is particularly beneficial for those who prefer verbal descriptions over numerical ratios.

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What is map scale? In what three ways may it be expressed on a map?

Short Answer

Step by step solution

Definition of Map Scale

Expressing Map Scale - Ratio or Representative Fraction

Expressing Map Scale - Linear Scale

Expressing Map Scale - Verbal Scale

Key Concepts

Representative Fraction

Linear Scale

Verbal Scale

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