That darn Achilles has been joyriding around the walls of Troy again, and with Hector stuck to his bumper, no less! The city’s best archers have hit Achilles with a thousand errors, but cocky Achilles doesn’t seem to get wet in rainstorms and certainly isn’t bothered by Troy’s rain of arrows. But you have a feeling you might be different. Yes, Paris, something tells you if you could shoot an arrow far enough, it would have a simply divine chance of finding its mark.
You have the luxury of launching either from the ramparts above the Hesperian Gate at a height of exactly 8 meters. Or you can stand atop Priam’s palace. This gains you another 7 meters of launch height, but it costs you 15 meters of horizontal distance. If the arrow leaves your bow at a somewhat modest 70 meters per second, are you best taking your pot-shot at far-off Achilles from the ramparts or the palace? Which perch offers the farthest reach?