Practice Semester Exam: 2014-2015
Unit 6(HONORS) Questions
6.15-1) (HONORS) Consider a triangle ABC. Which statement is true?
(A)
c2  a2  b2  2ab cos C
(B)
c2  a2  b2  2ab cos C
(C)
c2  a2  b2  2ab cos C
(D)
c2  a2  b2  2ab cos C
6.15-2) (HONORS) Use the diagram.
What is cos A ?
16
(A)
56
56
(B)
16
16

(C)
56
56

(D)
16
A
B
6.16-3) (HONORS) The diagram shows a surveyor’s map.
The surveyor is trying to measure the direct distance between
points A and B, which are on opposite sides of a lake. From
point C, point A is 950 meters away in a direction 20° west of
north. From point C, point B is 880 meters away in a direction
east of north.
Which represents the distance between A and B?
(A)
(B)
(C)
7
4
C
9
A
50°
9502  8802  2  950  880  cos70
880
950

sin 50 sin 20
950 sin 70
sin 55
B
950 m
20°
50°
880 m
C
6.16-4) (HONORS) A small airplane flies due north at 150 kilometers per hour. A wind is blowing towards the
direction 60° east of north at 50 kilometers per hour. Which figure represents the final speed and direction
of the airplane?

N

(A)
N

(B)
N

(C)
(D)
















N




For questions 5-7, consider a triangle ABC and each given set of measurements.
6.16-5) (HONORS) AB, AC, and mA are sufficient to solve the triangle using the Law of Sines.
(A)
True
(B)
False
6.16-6) (HONORS) AB, AC, and mB are sufficient to solve the triangle using the Law of Sines.
(A)
True
(B)
False
6.16-7) (HONORS) AB, AC, and BC are sufficient to solve the triangle using the Law of Sines.
(A)
True
(B)
False
6.16-8) (HONORS) Given: cos 26  0.90 and sin 26  0.44
What is the approximate value of cos 154 ?
(A)
–0.90
(B)
–0.44
(C)
0.44
(D)
0.90
For questions 9-10 use the statement below.
Given: An angle measures k°, where k > 0.
6.16-9) (HONORS) sin k   sin 180  k  
(A)
True
(B)
False
6.16-10) (HONORS) cos k   cos 180  k  
(A)
True
(B)
False
For question 11, let cos x  m .
6.16-11) (HONORS) cos 180  x   = m
(A)
True
(B)
False
6.16-12) (HONORS) In triangle ABC, mB  25 , a = 6.2, and b = 4. Find all possible measures of the
remaining two angles and the third side.
6.16-13) (HONORS) In triangle ABC, mB  25 , a = 6.2, and c = 4.
(a) Find all possible measures of the remaining two angles and the third side.
(b)
Find all possible areas of the triangle
6.18-14) (HONORS) The diagram shows a parallelogram ABCD.
B
C
5
60°
A
D
3
What is the parallelogram’s area?
7.5 3
(A)
15
(B)
15 3
(C)
30 3
(D)
6.18-15) (HONORS) In the diagram, ABC is a non-right triangle.
C
b
a
B
c
Which describes the area of the triangle?
1
ab
(A)
2
ab sin C
(B)
1
ab sin C
(C)
2
1
ab cos C
(D)
2
A