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To make a map of Earth\'s .surface on flat piece of paper, some compromises need

ID: 1997284 • Letter: T

Question

To make a map of Earth's .surface on flat piece of paper, some compromises need to be made. If the shapes are accurate, what in general happens to the areas? It may be that few students in this course ever sail across an ocean, but this question is a useful application of the advantages of two types of map projection. A compass bearing is a straight line on a Mercator projection map. Explain the general method of how a navigator could use a polar projection map and a Mercator projection map to determine the shortest route across the ocean from the entrance to San Francisco Bay to Honolulu, Hawaii. This is a general question, no particular latitudes, longitudes or compass bearings are required in the answer. On a map, a fractional scale of 1:125,000 indicates that a distance of one inch measured on the map equals what distance on the ground? On extra point if you convert your answer to some commonly used measure of distance such as miles or kilometers. Show your calculations.

Explanation / Answer

Step 1:.looking at the problem sheet

The problemsheet contains 3 interesting questions - each demand a detailed analysis. I am enlclosing

a step by step answer to the 1st question (Q no 12).

Step 2: Understanding the problem

Representing the true shape of the Earth's surface (which is a curved surface)on a map (which is flat surface) creates distortion. The nature of this distortion is related to how the mapping process modifies specific geographic properties. Some of the geographic properties affected by projection distortion include: distance; area; straight line direction between points on the Earth etc.

Step 3: How area is affected

On a Mercator projection, the north-south scale increases from the equator at the same rate as the corresponding east-west scale. As a result of this feature, the middle and high latitude countries appear to be bigger on map than they are in reality. The Gall-Peters projection corrects this distortion making the area occupied by the world's nations more comparable.

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