I made the physics calculations and Lego couldn't shoot an arrow to the top of Orthanc. (Even using the amazing 150 lbs. draw strength of his spiffy Lothlórien bow.) The arrow couldn't be able to withstand the amazing amount of acceleration needed to get it to the top. (Even notched with the spiffy flint only found in the Silverlode.)
So we return to: Why on top of Orthanc? The balcony makes so much more sense...
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