MI 4 Trig Quiz 1 Name __________________
Show your work clearly to receive full credit:
Solve each triangle. That is, find all missing angles and sides. If there are two solutions, be sure to indicate which sides and angles go together to form each triangle. To help visualize the situation, you may want to draw a figure. Round final answers to one decimal place.
1 . In
  
53.1 , q

160.1 and r

178.6
.
2. In
  
35 , a

13, and c

9 .
3. Solve (round answers to 2 decimal places e.g.
 
3.14
: cos(3 x
 
)

.7
for x for
  
2


MI 4 Trig Quiz 1 Name __________________
4. Carissa wishes to measure the distance across the crocodile infested swamp behind IMSA.
Since she cannot drive across the swamp, she takes Dr Keyton’s golf cart and drives toward one end. As she faces the swamp, she turns and drives 4.3 km across land. After turning 43 o counterclockwise, she travels 15.7 km. Then she turns 55 o
counterclockwise and travels an additional 3.3 km, at which time she arrives at a point at the opposite end of the swamp, directly across from where she started. How wide is the swamp?
3.3
4.3
15.7
55 o
43 o
Note: you cannot assume opposite sides of the quadrilateral are parallel! They are not.
5. Simplify each of the following. Your final answer should be exact and should not involve a trig function. a.
  b.

1
 cos cos






13




 c.

1
 cos cos

 


15

13 
 

