Chapter 3
MATH 2201 Test
Name
Selected Response Answer Sheet.
Write the UPPERCASE letter of the correct answer in the correct blank below.
1. _____
2. _____
3. _____
4. _____
5. _____
Chapter 3
MATH 2201 Test
Name
Selected Response – Write the UPPERCASE letter of the correct answer on the answer sheet.
1. Which expression is true for QRS ?
A)
C)
cos Q 
r 2  s2  q2
2rs
r 2  q 2  s 2  2qs cos R
B)
sin Q
r
sin S


q
sin R
s
D)
r
s
q


sin R sin Q sin S
2. Solve for the unknown side length. Round your answer to one decimal place.
q
sin 30


10.0
sin 80
A) 4.0
B) 5.1
C) 9.7
D) 20.3
3. Determine the measure of <R to the nearest degree.
A) 50°
B) 52°
C) 54°
D) 56°
4. What information do you need to know about an acute triangle to use the cosine law?
A) two angles and any side
B) two sides and any angle
C) all the sides
D) all the angles
Chapter 3
MATH 2201 Test
Name
5. How would you determine the indicated angle measure, if it is possible?
A) primary trigonometric ratios
B) the sine law
C) the cosine law
D) not possible
Long Answer – Show all workings for full credit.
6. Solve ABC given the following:
tenth. [6]
 B  62 , a  12.5 , c  15.7 . Give each measure to the nearest
Chapter 3
7.
MATH 2201 Test
Name
How long, to the nearest tenth of a metre, is the longer rafter in the roof shown? [3]
rafter
rafter
38°
54°
10.2 m
8.
In a parallelogram, two adjacent sides measure 17 cm and 14 cm. The shorter diagonal is 11 cm.
Draw a diagram and determine, to the nearest degree, the measure of the smaller angle in the
parallelogram.
[4]
Chapter 3
9.
MATH 2201 Test
Name
Sketch a triangle that corresponds to the equation below and then determine the third angle
measure to the nearest degree and the third side length to the nearest tenth.[4]
10.4

sin 33

18.6
sin 77 
10. Two airplanes leave the Fort Chipewyan airport in Alberta at the same time. One airplane
travels at 360 km/h. The other airplane travels at 430 km/h. About 30 min later, they are
150 km apart. Draw a diagram and determine the angle between their paths, to the nearest
degree.[4]
Chapter 3
MATH 2201 Test
Name
12. A radio tower is supported by two wires on opposite sides. On the ground, the ends of the
wires are 46.5 m apart. The angles of elevation for the wires are 62° and 67° respectively.
Determine the length of the longest wire and the height of the tower to the nearest tenth of
a metre. [5]
67°
62°
46.5 m
13 Identify the step in which the error occurs in the “solution” below. Show the complete
correct solution. [3]
Step 1: c 2  112  82  2 118  cos 37
Step 2: c 2  121  64  176 cos 37
Step 3: c 2  185  176 cos 37
Step 4: c 2  9 cos 37
Step 5: c 2  7.18771959...
Step 6: c   7.18771959...
Step 7: c  2.680992277...
Step 8: c  2.7
Chapter 3
MATH 2201 Test
Name
FORMULAE
a 2  b 2  c 2  2bc cos A
sin A sin B sin C


a
b
c
b 2  a 2  c 2  2ac cos B
c 2  a 2  b 2  2ab cos C
cos A 
b2  c2  a2
2bc