You have paid big bucks to see Season of the Witch at the 3-D IMAX theater in Vancouver. Just before the movie is about to begin, the theater staff tell you that the lens for the projector has just broken! You really want to see the movie and decide that it should be simple to set up a single lens system to project their 60mm film onto a 9 meter tall screen - if you just had a lens!? Fortunately you are there with your great aunt who wears REALLY thick glasses. One of her lenses has an optical power of +5.5 m-1, and the other has a power of +6.5 m-1 (optical power is 1/f). If the screen is 27-m away from the lens, can you save the day and fix the "projector" with one of these lenses?
Which lens would work best?
The Attempt at a Solution
I can draw ray diagrams, etc. and figure that all out... I just don't know how one would work better than another?