Sunday, September 11, 2011

Chea.

To find the distance between two places, you need to plot a drawing. Let’s just say we’re measuring the distance in millage between the South Pole and Asia. The radius between these two places is 8864, and Asia is located at 85 degrees north.
Make a visual and draw the equator which is the center of the Earth.
Givens :
Radius = 8864
Asia = 85 degrees north
South Pole = 90 degrees south
1. After drawing the equator, estimate where Asia (85 degrees north) would be and put a dot.
2. Plot the South Pole at 90 degrees south
3. Form a triangle and draw an arc between both places to hence the earth’s curve
Then, to find the central angle, add both of the angles together and that will equal the central angle.
So, 90+85=175
Convert this number to radians so you can use the formula to find the apparent size/distance.
You will convert it by multiplying 175 by pie then dividing it by 180. So, 175 degrees in radians = 35/36pie.
Finding the arc length, you use the formula: s= theta * radius.
So, plugging everything in..
S=35/36pie * 8864
This answer is the distance between the south pole and asia.

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