Physics, how to find magnification and distance of image?

Posted on 2016-05-18 18:32:00 in Physics by TIMBO

The focal length of the lens is 6.0 cm. How far should you place an object from the convex lens to produce and image a third the size of the object. 

My question really is: 
"image a third the size of the object". 
1) Doesn't this mean hi = (1/3)ho ? 
2) Does this also mean di = (1/3)do ? 
If so, why the correlation? Because of the equation M = hi / ho = -di / do ? Why isn't it di = (-1/3)do then? 

hi = height of image 
ho = height of object 
di = distance of image 
do = distance of object

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