Problem: A sunny summer morning, a fighter jet pilot experiences a hair-raising situation. While on a training exercise, she is alerted by the command center that an Unidentified Flying
Object (UFO) has entered the airspace and will soon appear on her radar. Some moments later,
the jet's radar detects the object a few hundred feet above, moving at other-wordly speeds on a
bearing of 60° 10' (relative to the jet). In a few milliseconds, the object travels 8.61 miles in a
straight line away from the fighter jet. At this point, radars at both the command center and
fighter jet begin to mysteriously malfunction. The only data command center is able to collect is
that the object has changed bearing and has traveled 5.21 miles (again in a straight line), before
disappearing. The jet's radar is able to additionally relay that the last detectable location of the
UFO relative to the fighter jet was some distance directly east of the fighter jet. Everyone is
dismayed at the idea that the UFO could be flying undetectable, next to the fighter jet and so they
quickly turn to you and your colleague for help, both of who are analysts and trig whizzes.