Geography Mapping Question 1. SCALE The scale of a map describes the relationshi

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Geography Mapping Question

1. SCALE The scale of a map describes the relationship between the distance on a map and the actual distance on the ground that is represented by the map. There are three ways of representing this information: Verbal: A statement of scale (1 inch equals 1 mile) Linear: a graphic scale in which a line is drawn and marked off at intervals to form a ruler. Representative Fraction: where the numerator indicates one unit of distance on the map and the denominator indicates the number of identical units on the map. The scale represented in words as "1.0 cm represents 0.5 km" is the same as the representative fraction 1/50 000, or 1:50 000s An example of a corresponding linear scale, as it would appear on a map, is shown below. Metrs io00 1000 2000 3000 4000 Hetns 1. Convert each of the following to a verbal scale: 1inch equals 1 cm equals_ a. 1:50 000 b. 1:80 000 _km 2. Express the following verbal scales as representative fractions: 1.0 cm represents 0.1 km 1.0 km is represented by 1.0 mm a. b.

Explanation / Answer

1. a. Representative fraction 1:50000 means that 1 inch on the map represents 50,000 inches on the ground. Since 1 mile = 63360 inches, so 50,000 inches is equivalent to (50000 / 63360) miles or 0.789 miles, thus the verbal scale is

1 inch equals 0.789 miles

b. Representative fraction 1: 80000 means that 1 cm on the map represents 80,000 cms on the ground. As 1 km = 100,000 cm, so 80,000 cm is equivalent to (80000 / 100000) km or 0.8 km, thus the verbal scale is

1 cm equals 0.8 km

2. a. 1.0 cm represents 0.1 km. This means that 0.1 km on the ground is represented as 1 cm on the map. As 1 km = 100,000 cm, so 0.1 km is equivalent to 10,000 cm. Thus, the representative fraction is 1: 10000, which implies that 1 cm on the map represents 10,000 cm on the ground.

b. 1.0 km is represented by 1.0 mm. This means that 1 km on the ground is represented as 1 mm on the map. As 1 km = 106 mm, thus the representative fraction is 1: 1000000, which implies that 1 mm on the map represents 1000,000 mm on the ground.

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