How Do You Calculate Object Height in Lens Imaging?

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SUMMARY

The discussion focuses on calculating the height of an object in lens imaging using the lens formula. Given the image distance (di) of 144 cm, object distance (do) of 36 cm, and image height (hi) of -96 cm, the formula hi/ho = -di/do is applied. The user seeks assistance in isolating the object height (ho) from the equation. The solution involves manipulating the equation to solve for ho, leading to the conclusion that the object's height can be determined through algebraic rearrangement.

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  • Understanding of lens formulas in optics
  • Basic algebraic manipulation skills
  • Familiarity with object and image distances in lens systems
  • Knowledge of height ratios in similar triangles
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Students in physics, optics enthusiasts, and professionals working with imaging systems who need to understand object height calculations in lens scenarios.

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The image distance is 144cm, the object distance is 36cm, and the image height is -96cm. I need to find the object's height.

hi / ho = -di / do

-96 / ho = -144 / 36

But now I am unsure of how to bring the -96 over to the other side to have the object's height isolated. Please help?
 
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(-96/ho)*ho=(-144/36)*ho
-96=-144ho/36
there is your first step,
now use the same idea either multiplying or dividing both sides of the equation by the same thing to get ho by itself
 

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