Thursday

November 27, 2014

November 27, 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

**Answer this Question**

**Related Questions**

Math - A boat travels 74 miles on a course with direction 34 degrees and then ...

Earth Science - Can you help me find how many hours are received by these ...

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...

Science - The lines of magnetic force generated by the fluid motions of the ...

math - A ship sails due north from a position 5 degrees, 28' South Latitude to ...

math - Describe all the points on the Earth’s surface that are exactly 4000 ...