(Solved): Ratio scales Verbal scales are expressed with words. You might see a verbal scale written like, "on ...

Ratio scales

Verbal scales are expressed with words. You might see a verbal scale written like, "one inch on the map \( =2000 \) \( \mathrm{ft} \) on the ground" or "one inch equals one mile." Ratio Scales displays the ratio of the length on the map to the number of lengths in the real world. Ratio scales do not include any units, because it does not matter what units you use. For example, if your map has a ratio scale of \( 1 ; 24,000 \) and you measure the distance between two points on the map and get exactly 1 inch, that would be equal to 24,000 inches on the actual surface of the earth. If you measure and got \( 1 \mathrm{~cm} \) on the map, that would be equal to \( 24,000 \mathrm{~cm} \) on the surface of the earth. If you measured 2 inches between your two points on the same map, it would be equal to 48,000 inches \( (2 \times 24,000) \) on the surface of the earth, and so on. 24,000 inches does not convey much information to most people, so the number is converted into something that is more recognizable such as miles or kilometers..... For example.... \begin{tabular}{l|c|c} 24,000 in & \( 1 \mathrm{ft} \) & \( 1 \mathrm{mi} \) \\ \hline & \( 12 \mathrm{in} \) & \( 5280 \mathrm{ft} \) \end{tabular}\( =0.38 \) miles Activity 3: Below are measurements made on various maps of different scale. Determine the distances in the real world. Remember that \( 12 \mathrm{in}=1 \mathrm{ft}, 5280 \mathrm{ft}=1 \mathrm{mi}, 100 \mathrm{~cm}=1 \mathrm{~m} \) and \( 1000 \mathrm{~m}=1 \mathrm{~km} \). Use a chart like in the previous example and show all your work. Example 1: Josh measures the distance between 2 points on a map \( (1: 50,000) \) to be 1 inch. What is the distance in miles in the real world? Example 2: Mary measures the distance between 2 points on a map \( (1: 62,500) \) to be \( 2 \mathrm{~cm} \). What is the distance in kilometers in the real world? Example 3: Trish measures the distance between two points on a map \( (1: 24,000) \) to be \( 1.5 \) inches. What is the distance in miles in the real world?