Question 373176: If I travel from Hellertown, pa 30,000 miles west what would my destination be? thanks, Carol
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! If I travel from Hellertown, pa 30,000 miles west what would my destination be? thanks, Carol
okay so if you are traveling due west for 30 thousand miles from that town,
then it depends on the circumference of the latitude line that that town sits on
Hellertown is located at 40°35′3″N 75°20′17″W or 40.58417°N 75.33806°W according to Wikipedia.
So traveling 30 thousand miles west along latitude 40.58417°N will bring you where is the question.
need to figure out the circumference at 40.58417°N too
http://mathforum.org/library/drmath/view/54158.html
circumference = 2*pi*R*cos(latitude)
http://www.meridianworlddata.com/Distance-Calculation.asp
The radius of the Earth is assumed to be 6,378.8 kilometers, or 3,963.0 miles.
circumference at 40.58417°N = 2*pi*3963*cos(40.58417) = 18910.531858 miles rounded to 6 places
30000 miles divided by 18910.531858 miles equals 1.586417 rounded to 6 places
571.110325 degrees
75.33806 + 571.11033 = 646.44839 degrees
646.44839 - 360 = 286.44839 degrees
0 degrees longitude is at prime meridian which crosses in Great Britain
360 - 286.44839 = 73.55161 east longitude
so you would be at 40.58417°N 73.55161°E
not sure what is at that location, would have to look that up too
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I just had to check:
360 degrees * 1.586417 = 571.11033 degrees
571.11033 degrees - 360 = 211.11033 degrees
75.33806 W + 360 degrees is 75.33806 W again
75.33806 W + 450 degrees is 165.33806 W (+ 90)
75.33806 W + 540 degrees is 255.33806 W which there is no such thing
290 W is 70 E, 280 W is 80 E, 270 W is 90 E, 260 W is 100 E, 250 W is 110E
255.33806 W is 104.66194 E (+ 180)
75.33806 W + 570 degrees is 285.33806 W
285.33806 W is 74.66194 E (+ 210)
285.33806 W + 1.11033 degrees is 286.44839 W
286.44839 W is 73.55161 E (+ 211.11033)
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