Math 163.2-01
Exam 3
1 December, 1999
Name: __________________________
________________________________________________________________________
 All pertinent work must be shown clearly and neatly!
 Points will be deducted for incorrect, missing, or unclear work – regardless
of the final answer given.
 No partial credit will be given for an incorrect answer with no supporting
work.
 Place your answer in the indicated area.
________________________________________________________________________
1. (10 points) Solve the following triangle:
Case I : _______________ : _______________ C: _______________
Case II : _______________ : _______________ C: _______________
2. (6 points) Find the area of the triangle given below. Round off your answer to 2
decimal places.
AREA: ______________________
3. (8 points) Find an equation for the graph given below:
Equation: ______________________________
4. (8 points) From a stationary balloon 700 ft above the ground, two sightings of a lake
are made (see picture). How long is the lake?
Answer: ___________________________
5. (6 points) Suppose that the polar coordinates of a point are (-5, 300). Find the
rectangular coordinates of the point.
Answer: ____________________________________
6. (8 points) Suppose that the rectangular coordinates of a point are (-4, 3). Find the
polar coordinates of the point.
Answer: ____________________________________________
7. (9 points) Use Demoivre’s Theorem to write (2  2i) 6 in standard form.
Answer: ___________________________
8. (8 points) Find all four of the complex fourth roots of –81i.
Z0 = __________________________
Z1 = __________________________
Z2 = __________________________
Z3 = __________________________