Can You See a Wind Generator from 9000 Meters Away?

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SUMMARY

The discussion centers on determining the visibility of an 80-meter tall wind generator located 9000 meters from the beach. The user seeks to understand how the object's height appears from that distance, specifically questioning the perceived height and necessary distance for visibility. The user attempts to apply perspective projection but finds it insufficient for their needs. The key takeaway is the need for precise calculations using perspective projection formulas to assess visibility accurately.

PREREQUISITES
  • Understanding of perspective projection principles
  • Familiarity with basic geometry and trigonometry
  • Knowledge of visibility calculations in relation to distance and height
  • Ability to apply mathematical formulas to real-world scenarios
NEXT STEPS
  • Research the mathematical principles of perspective projection
  • Learn how to calculate apparent height using distance and actual height
  • Explore visibility analysis techniques for objects at a distance
  • Investigate the effects of atmospheric conditions on visibility
USEFUL FOR

3D designers, architects, engineers, and anyone involved in visual simulations or visibility analysis of large structures from a distance.

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Homework Statement



Thank you very much in advance if you help me to resolve this problem. I am 3D designer and I must to defend that the object is visible from the beach but so small. sorry my english!
Please if you can contribute with formulas and solve the problem will be valued, because I would like to resolve by myself with differents parameters.

Problem:
I have an object of 80 meters of height and 5 meters of diameter.
This object is above the sea and 9000 meters far from the beach.
The object is like a wind generator white.

Questions:
1. its visible the object from the beach?
2. what height has the object from the beach?
3. what distance I need to see the object?

Homework Equations





The Attempt at a Solution

 
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try perspective projection.
 
Thank you for your answer. I tried to find information about perspective projection and I think that isn't that I looking for.

I need to explain the information like this:

the object seen to 9000 meters of distance has 3mm of height. Why? because the formula to calculate this results is x+y=z , where x is distance, y is height, etc, (this is a sample formulas and number are not real)
 

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