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the create the illusion of a life-sized image, puppeteers sometimes use a light source to show an enlarged image of. puppet projected on a screen or wall. Suppose the the distance between a light source l and the upper is 24 inches, LP. TO what distance PP' should you place the puppet from the green to create a 49.5 inch tall shadow I'M' from a 9 inch puppet

(a triangle is created by the light source, L connected to I and M as the legs. These are also points are extended to create another line segments, LI' and LM') please help!

1 answer

assuming "upper" means "puppet" and "green" means "screen" and M is the top of the puppet, then I guess we have
9/24 = 49.5/(24 + PP')
Now just solve for PP'

Your description of the scene is murky, to say the least ...
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