Visibility of sun in different altitudes

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SUMMARY

The discussion centers on calculating the visibility of the sun at different altitudes during the spring equinox, specifically for a tower of height "H" feet at latitude "ø". The user initially derived a visibility calculation of "4.24√H * sec ø" but is seeking clarification on the correct formula, which should yield "13.94√H * sec ø". The formula used, "√(2RH)/(2πR * cosø) = time to be obtained/86400", is under scrutiny for errors in calculation or application.

PREREQUISITES
  • Understanding of trigonometric functions, particularly cosine.
  • Familiarity with basic physics concepts related to light and visibility.
  • Knowledge of the spring equinox and its implications on solar visibility.
  • Ability to manipulate and solve algebraic equations involving square roots.
NEXT STEPS
  • Review the derivation of the formula for solar visibility at different altitudes.
  • Study the impact of latitude on solar angles and visibility.
  • Explore the concept of solar declination and its relevance during the equinox.
  • Investigate the role of tower height in determining the angle of elevation for solar visibility.
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Students of physics, astronomers, architects designing tall structures, and anyone interested in solar visibility calculations related to geographical locations.

trina1990
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I've to show , " at the spring equinox for a place of latitude ø, the sun will become visible at the top of a tower of height " H " feet, about
" 13.94(root over )H * sec ø "

But as far i made calculations, i got the amount of
"4.24 root over H * sec ø "

I used all the measurements in feet but i could not derive this amount of 13.94 instead of 4.25. .
Plz someone held me to obtain it. .

I used this formula
" root over (2RH)/(2piR *cosø) =time to be obtained/86400 "
Now please identify my err
 
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trina1990 said:
I've to show , " at the spring equinox for a place of latitude ø, the sun will become visible at the top of a tower of height " H " feet, about
" 13.94(root over )H * sec ø "

But as far i made calculations, i got the amount of
"4.24 root over H * sec ø "
Please explain the problem and the calculations you have made. I don't understand why the sun would not be visible at the base of the tower.

AM
 

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