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September 2, 2014

September 2, 2014

Posted by **Anonymous** on Monday, September 24, 2007 at 5:11pm.

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 Pre-Calculus -
**Ms. Sue**, Monday, September 24, 2007 at 5:32pmI don't know how to figure it using that formula. But each degree of latitude is about 69 miles.

- Honors Pre-Calculus -
**bobpursley**, Monday, September 24, 2007 at 6:08pmThe 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 90-36, or 54 degrees, and converting that to radians 54*PI/180= .942 radians

distance=3963*.942 miles.

- Honors Pre-Calculus -
**Franz**, Saturday, January 28, 2012 at 8:37pmHere'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

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