Angle turned relative to earth?

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Homework Help Overview

The problem involves calculating the angle turned relative to the Earth when flying from Kampala to Singapore, given the distance between the two cities and the Earth's radius. The context is within the subject area of geometry and circular motion.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the distance traveled and the Earth's circumference, questioning how to relate the distance of 5000 miles to the total degrees in a circle. Some suggest using triangles and right angles to analyze the problem geometrically.

Discussion Status

There are multiple lines of reasoning being explored, with some participants providing guidance on calculating the percentage of the Earth's circumference that corresponds to the distance traveled. However, there is no explicit consensus on the approach or solution yet.

Contextual Notes

Participants note the need for clarification on the Earth's circumference and how it relates to the angle calculation, indicating potential gaps in information or understanding of the problem setup.

thedarkone80
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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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