Angle turned relative to earth?

[thedarkone80]

Homework Statement

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.

Homework Equations

No clue

The Attempt at a Solution

Have tried using triangles, haven't gotten anywhere. Please help.

 

[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?

 

[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.

 

[thedarkone80]

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?

The percentage of the Earth's circumference is about 20%. But i don't understand what you have mentioned about how 5000 miles corresponds to the 360 in a circle?

 

[Suy]

https://www.physicsforums.com/showthread.php?t=189149
you might able to find the answer here