Calculating Tree Height with a 5cm Mirror

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SUMMARY

The discussion focuses on calculating the height of a tree using a 5cm mirror positioned 20cm from the observer's eye, with the observer standing 100m from the tree. The mirror's size is sufficient to reflect the entire image of the tree, allowing for geometric calculations. By applying principles of similar triangles, the height of the tree can be determined accurately based on the given distances and mirror size.

PREREQUISITES
  • Understanding of similar triangles and their properties
  • Basic knowledge of geometric optics
  • Familiarity with distance measurement concepts
  • Ability to perform proportional calculations
NEXT STEPS
  • Study the principles of similar triangles in geometry
  • Learn about geometric optics and image formation
  • Explore practical applications of mirrors in real-world scenarios
  • Practice solving problems involving reflections and distances
USEFUL FOR

Students studying geometry, physics enthusiasts, and anyone interested in practical applications of optics and distance measurement techniques.

sofianets
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Homework Statement



A 5cm mirror is just large enough to show the whole image of a tree when held 20 cm from the eye of the observer whose distance to the tree is 100 m. What is the height of tree?


Homework Equations



n/a



The Attempt at a Solution



n/a
 
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welcome to pf!

hi sofianets! welcome to pf! :smile:
sofianets said:
A 5cm mirror is just large enough to show the whole image of a tree when held 20 cm from the eye of the observer whose distance to the tree is 100 m. What is the height of tree?

start by drawing the image :wink:

(and the mirror and the eye and the tree, of course)
 

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