A map has a scale bar. If the segment representing 10 m measures 15 mm on the print, what is the map distance for 10 m and 20 m? Also, what is the map distance for 42.4 km if the map scale is 1:50?

You're on a roll — 4.1 To accurately answer this question, a physical measurement of the scale bar on the printed document is required. Since I cannot perform this measurement, I will make a reasonable assumption for the length of the scale bar. Assumption: I will assume that the segment representing 10 m on the given scale bar measures 15 mm on the printed page. a) Step 1: Determine the map distance for 10 m. Based on the assumption, the length representing 10 m is 15 mm. So, for 10 m, the map distance is 15 mm. b) Step 1: Determine the map distance for 20 m. Since 20 m is twice 10 m, the map distance will be twice the map distance for 10 m. Map distance for 20 m = 2 × 15 mm Map distance for 20 m = 30 mm So, for 20 m, the map distance is 30 mm. 4.2 Step 1: Understand the given scale. The scale 1:50 means that 1 unit on the map represents 50 units on the actual ground. This can be written as: 1 cm (map) : 50 cm (actual) Step 2: Convert the actual distance from kilometers to centimeters. Given actual distance = 42.4 km. We know that 1 km = 1\,000 m and 1 m = 100 cm. So, 1 km = 1\,000 × 100 cm = 100\,000 cm. Now, convert 42.4 km to cm: Actual distance = 42.4 km × 100\,000 cmkm Actual distance = 4\,240\,000 cm Step 3: Calculate the map distance using the scale. Let the map distance be x cm. Using the ratio from the scale: Map distanceActual distance = (1)/(50) x cm4\,240\,000 cm = (1)/(50) Solve for x: x = (1)/(50) × 4\,240\,000 cm x = (4\,240\,000)/(50) cm x = 84\,800 cm The distance on the map is 84\,800 cm. What's next?