Angle turned relative to earth?

1. Oct 15, 2009

thedarkone80

1. The problem statement, all variables and given/known data
The earth's radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles. Through what angle do you turn, relative to the earth, if you fly from Kampala to Singapore? Give your answer in degrees.

2. Relevant equations
No clue

3. The attempt at a solution

2. Oct 16, 2009

ideasrule

What's Earth's circumference? How many percent of that is 5000 miles? Since there are 360 degrees in a circle, how many does 5000 miles correspond to?

3. Oct 16, 2009

helpmee

maybe the radius and the distance between the countries form a right angle. with this find the angle made by the radius and the hypotenuse. Divide 360 by this number, than multiple 5000 to your answer.

4. Oct 16, 2009

thedarkone80

The percentage of the earth's circumference is about 20%. But i dont understand what you have mentioned about how 5000 miles corresponds to the 360 in a circle?

5. Oct 16, 2009