Your employer, Airports Are Us, has asked that you be the lead designer for the location of the main runway in an airport the company in designing. The following information is what your employer gives you.

1. The runway must be 2 miles long so it can handle large commercial planes with ease.
2. If would be optimal if planes could take off and land in either direction on the runway, but if it can only be from one direction your employer needs to know.
3. The airport is going to be built in an open space in a crater with flat 10,000 ft cliffs on all four sides.
4. The widest part of the crater is 20 miles and it’s along this path you want to put the runway.

Your job is to figure out where in this 20 miles you will locate the 2 mile runway, if it is possible to do so.

5. You will need to research the typical take off angle for commercial planes and make sure you give a 5^o angle margin of error for problems that could occur during take-off.
6. Your goal is to make sure there is enough space to climb comfortably and not hit the cliffs. This would be bad.

You need to write a report(that must be typed and professional looking) to your employer. All expositions should be written in complete sentences with proper grammar. Equations should be written with mathematical symbols; no need to write them in words. Your report needs to contain a detailed description of your work as follows:

Interpretation: The problem must be explained in mathematical forms. Start by stating all of the assumptions for the problem. Then include a diagram of the problem along with any equations you would need to solve. You may also include: graphs, tables, words, etc to help explain the problem and your solution.

Application/Analysis: Show all mathematical work in solving the problem along with an analysis of the conclusion to your research. Be detailed. Is there more information that could be useful to further your research or is there a limitation to your conclusions based on the given information?

Communication: Assume that your employer knows nothing about mathematics and every detail needs to be included in your report. Use the proper mathematical terminology in your analysis and in supporting your conclusion.

Answer rating: 100% (QA)

Interpretation The problem given is to determine where to locate a two mile long runway within a 20 mile long crater with flat 10000 ft cliffs on all four sides This runway must be able to handle larg... View the full answer