Angle turned relative to earth?

AI Thread Summary
To determine the angle turned relative to the Earth when flying from Kampala to Singapore, the Earth's circumference, approximately 25,000 miles, is essential for calculations. The distance of 5,000 miles represents about 20% of the Earth's circumference. Since a full circle is 360 degrees, this translates to an angle of about 72 degrees (20% of 360). The discussion emphasizes the need to understand the relationship between distance traveled and the total circumference to find the angle. This approach clarifies how to calculate the angle of turn in relation to the Earth's surface.
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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.
 
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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?
 
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.
 
ideasrule said:
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?
 
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