32Km straigh line to the Earth curve

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SUMMARY

The discussion centers on calculating the curvature of the Earth over a horizontal distance of 32 kilometers. Using the Earth's radius of 6,380 kilometers, participants explored the application of the Pythagorean theorem to determine the drop due to curvature. The consensus is that the curvature can be approximated using geometric principles, specifically focusing on the relationship between the radius and the distance traveled. This approach provides a practical method for understanding the Earth's curvature in relation to horizontal travel.

PREREQUISITES
  • Understanding of basic geometry and the Pythagorean theorem
  • Familiarity with the concept of Earth's radius (6,380 km)
  • Knowledge of curvature calculations
  • Basic trigonometry principles
NEXT STEPS
  • Research the formula for calculating Earth's curvature over distance
  • Learn about spherical geometry and its applications
  • Explore the implications of Earth's curvature in navigation
  • Investigate the use of curvature calculations in engineering projects
USEFUL FOR

Students studying physics or mathematics, engineers involved in surveying or construction, and anyone interested in understanding the practical implications of Earth's curvature in real-world applications.

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Homework Statement


if you travel horizontally 32km, how far down will the Earth have curved ?


Homework Equations


Earth Radian = 6380 Km.


The Attempt at a Solution


I tried to use Pythagorean theorem, I am not sure.
 
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that should work
 

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