THE PROBLEM: You are going to take a hot air balloon ride from Hawaii to San Francisco. Pretend that you are going over the surface of the earth at a negligible height, and that you fly the shortest path possible. How many kilometres will you have flown? There is a pilot formula which answers this. See below what I think of using that in your answer.
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Allright, here is the update. These specific locations were found by
Andrew, and confirmed by Sharon.
We might as well all use the same numbers. Here is the "formula"
which solves the
problem. You can only use this to check your answer. Our goal is to
1) find the answer without using
the formula, and 2) use variables instead of specific numbers so that
you can prove the formula. All you
need is geometry, pythagoras, and law of cosines, so don't feel like
you have to look up obscure info!
|
135 Main Street |
135 Main Street |
|
| Lat = 21.353411 Degrees | Lat = 37.791485 Degrees |
|
| Long = -157.938476 Degrees | Long = -122.394123 Degrees |
San Francisco coordinates courtesy of MapBlast.com
Great link to information on lattitude and longitude discovered by Jessica.
http://www.ncgia.ucsb.edu/education/curricula/giscc/units/u014/u014_toc.html
Here is a whole lesson on Earth Coordinate systems!
http://www.ncgia.ucsb.edu/education/curricula/giscc/cc_outline.html
This is the link to the Nova Transcript on the search for longitude.
There will be a QUIZ which will determine whether you read this!
http://www2.pbs.org/wgbh/nova/transcripts/2511longitude.html