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Unformatted text preview: 1)(40 points) An airplane is ﬂying at constant altitude 3 miles high and 480 miles/hour. It passes directly over an observer on the ground. How fast is the angle between them changing 30 seconds later? 3)(40) An 80 ft building throws a 60 ft shadow on the ground. At that instant, the angle the sun makes with the grund is increasing at .0047 rad/sec. How fast is the length of the shadow changing? A)(70)The wind is carrying a balloon west at a constant speed of 100 ft/min. Meanwhile the balloon is losing altitude at a constant rate of 50 ft/min. If the balloon started 300 ft straight above your head, how fast is the angle of elevation of the balloon changing, one minute later? A)(70) You’re in the Australian outback have just been voted oF the show. The &#@* person who cast the deciding vote is standing 100 ft from you, shooting a ﬂare to call the ’copters to take you away. The ﬂare goes straight up. You watch your shadow, shrinking. you’re six feet; when your shadow is six feet also, it seems to be shrinking at 1 ft/min. You wonder, ’how fast is the ﬂare going up?’shrinking at 1 ft/min....
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 Fall '06
 McAdam
 Trigonometry, Imperial units

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