Algebra 1
1. Before using the world coordinates to find the distance between cities we must practice finding the distance between 2 points plotted on a coordinate plane.
A. Find the distance between Pt A(4, 6) and Point B (-3, -2)
Just like our slope formula:
It doesn’t matter which point we start with but
The order is important!
So plugging (4,6) and (-3,-2) in we get:
==
=== = 10.63
B. Find the distance between Pt. M (-5,4) and N (7,-3)
C. We are now going to use the world coordinates you found earlier to calculate the distance between some cities in the United States (please note there is significant error associated with this formula…we are using a plane formula – as if the United States is “flat”)
Each City will have coordinates (Lat, Long)
All North and East coordinates are POSITIVE Prime Meridian
All South and West coordinates are NEGATIVE
(-, +) (+,+)
Equator
(-, -) (+,-)
From your notes worksheet you completed earlier today. Fill out the table below but use +, or – in the appropriate locations. Example: Columbus Ohio has coordinates Latitude 40 N Longitude 83 W so its coordinates are (40, -83)
Coordinates of :
Columbus OH (40, -83) Chicago IL ______Miami FL ______
New York NY______Houston TX______
D. Use the fact that each degree is 70 miles and find the distance from Chicago to Columbus – Show work
i) Use the distance formula , and substitute the appropriate coordinates.
ii) Then multiply this distance by 70
E. Neatly show all work and find the distance, in miles, from Miami to Columbus:
F. Neatly show all work and find the distance, in miles, from New York City to Columbus:
G. Neatly show all work and find the distance, in miles, from Houston to Columbus:
Algebra 1 Requirement
Your group is investigating a certain country or culture. Your trifold board must include some form of a map indicating where the “focus city” of your country or culture is located.
Your trifold board must also list the Geographic Coordinates of this city.
You will list these as Latitude______N or S, Longitude ______E or W
You must then find the distance, in miles, from this city to Columbus, Ohio. Your group will do this by entering the coordinates of Columbus, Ohio and the focus city of your country into the website: http://jan.ucc.nau.edu/~cvm/latlongdist.html
We cannot use our distance formula to calculate the distance – our distance formula works for a plane (flat) object.
You must enter the coordinates as: ddd.ffffD
where ddd = 0-3 digits, ffff = 0-10 digits and D = N,S,E, or W. This format represents a decimal number of degrees. If the number of degrees is a whole number, the decimal point is optional.
For Example, Columbus Ohio will be entered as your source city and would be entered as:
Source
Latitude : Longitude:
Destination
Latitude : Longitude:
After entering the coordinates of your city in the “destination” section, leave the units in statute miles and submit your query.