Posted by Anonymous on Monday, September 24, 2007 at 5:11pm.
The latitude of Durham, North Carolina is 36 degrees North. About how far from Durham is the North Pole? Use 3963 miles for the radius of the Earth.
I believe there is a formula of s=r times the feta angle, but you may have to convert the degrees to radians. I'm not sure what I'm doing wrong so if someone could get me going in the right direction I would appreciate it.

Honors PreCalculus  Ms. Sue, Monday, September 24, 2007 at 5:32pm
I don't know how to figure it using that formula. But each degree of latitude is about 69 miles.

Honors PreCalculus  bobpursley, Monday, September 24, 2007 at 6:08pm
The Earth is not exactly a sphere, but your equation ought to be this:
distance=radiusEarth*theta where theta is the angle in radians. In this case, the angle from the N pole is 9036, or 54 degrees, and converting that to radians 54*PI/180= .942 radians
distance=3963*.942 miles.

Honors PreCalculus  Franz, Saturday, January 28, 2012 at 8:37pm
Here's another way of thinking about it. You know the Radius, 3963 so you can now find the circumference with the formula C=2piR. Do the math, C=24900. Durham is at 36 degrees which means Durham to the north pole is 54 degrees. Draw a little picture. The ratio of 54/360 degrees will give you the percentage of the earth from Durham to the north pole. So, multiply that ratio times the total circmference to get the distance.
54/360*24900=3735 miles. This is probably not the way your teacher wants you to do this problem but it works
Answer This Question
Related Questions
 Math  A boat travels 74 miles on a course with direction 34 degrees and then ...
 ss  what are latitude and longitude? lines of __________ and lines __________ ...
 Earth Science  Can you help me find how many hours are received by these ...
 PreCalculus  Two cities are due north of each other. One city has a latitude ...
 science  Amanda is holding a compass and notices that the north pole of the ...
 trig  if diameter of the circle is 100 cm. and length of the arc forming the ...
 Trigonometry  Smalltown, latitude 53.6 degrees N, lies directly north of ...
 Science  If you were flying directly south from the north pole and reached 70 ...
 physical geography  If you begin at 20 degrees 47'36" south and 168 degrees 23'...
 GEOGRAPHY  How many degrees is the Arctic Circle displaced from the North Pole...
More Related Questions