How Do You Calculate Object Height in Lens Imaging?

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To calculate the object's height in lens imaging, the formula hi/ho = -di/do is used, with given values of image distance (di) at 144cm, object distance (do) at 36cm, and image height (hi) at -96cm. The equation can be rearranged to isolate the object's height (ho). The first step involves multiplying both sides by ho, leading to -96 = -144ho/36. Further manipulation of the equation will yield the value for ho. This method effectively demonstrates how to derive the object's height from the provided parameters.
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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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