Download Unit 8 Corrective

Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry - Chapter 8 Corrective #1 1516
Matching
Match each vocabulary term with its definition.
a. cosine
b. adjacent leg
c. sine
d. tangent
e. trigonometric ratio
f. angle of depression
g. opposite leg
h. angle of elevation
i. geometric mean
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the angle formed by a horizontal line and a line of sight to a point below
in a right triangle, the ratio of the length of the leg opposite the angle to the length of the hypotenuse
in a right triangle, the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse
a ratio of two sides of a right triangle
the angle formed by a horizontal line and a line of sight to a point above
a x
6. for positive numbers a and b, the positive number x such that =
x b
7. in a right triangle, the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the
angle
1.
2.
3.
4.
5.
Match each vocabulary term with its definition.
a. parallel vectors
b. resultant vector
c. additive vector
d. direction
e. equal vectors
f. magnitude
g. multiplicative vector
h. component form
i. vector
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| → | | → |
8. the length of a vector, written | AB | or | v |
|
| | |
9. the orientation of a vector, which is determined by the angle the vector makes with a horizontal line
10. a quantity that has both magnitude and direction
11. the form of a vector that lists the vertical and horizontal change from the initial point to the terminal point
12. two vectors that have the same magnitude and the same direction
13. the vector that represents the sum of two given vectors
14. vectors with the same or opposite direction
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Name: ________________________
ID: A
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 15. A pilot flying at an altitude of 1.8 km sights the runway directly in front of her. The angle of depression to
the beginning of the runway is 31°. The angle of depression to the end of the runway is 23°. What is the
length of the runway? Round to the nearest tenth of a kilometer.
a. 1.2 km
c. 1.3 km
b. 0.9 km
d. 1.0 km
____ 16. Identify the parallel vectors and the equal vectors.

→
a.


→ 

→ 
→
Parallel: AB , CD , HI , JK

→


→
Equal: AB , CD

→
b.


→


→ 

→


→
Parallel: AB , CD , FG , HI

→


→
Equal: AB , CD

→

→
Parallel: AB , CD , JK

→

→
c.
d.


→
Equal: AB , CD


→ 

→
Parallel: AB , CD , HI

→


→ 

→
Equal: AB , CD , HI
Short Answer
17. A hiking trail has a slope of
3
32
. What is the measure of the angle that the trail makes with a horizontal line?
Round to the nearest degree.
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Name: ________________________
ID: A
18. Draw the vector −2, 2 on the coordinate plane. Find its magnitude to the nearest tenth.


→


→
19. TM has an initial point of (−2, 8) and a terminal point of (−6, − 4). Find the magnitude of TM to the nearest
tenth.
.
20. Find the geometric mean of the pair of numbers 4 and 25.
21. Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth.
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Name: ________________________
ID: A
Completion
Complete each statement.
22. Label the angles and side relationships for the 30-60-90 triangle by filling in the 6 boxes with the correct
values/expressions.
23. Label the angles and side relationships for the 45-45-90 triangle by filling in the 6 boxes with the correct
values/expressions.
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ID: A
Geometry - Chapter 8 Corrective #1 1516
Answer Section
MATCHING
1.
2.
3.
4.
5.
6.
7.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
F
C
A
E
H
I
D
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
8-4 Angles of Elevation and Depression
8-2 Trigonometric Ratios
8-2 Trigonometric Ratios
8-2 Trigonometric Ratios
8-4 Angles of Elevation and Depression
8-1 Similarity in Right Triangles
8-2 Trigonometric Ratios
8.
9.
10.
11.
12.
13.
14.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
F
D
I
H
E
B
A
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
8-6 Vectors
8-6 Vectors
8-6 Vectors
8-6 Vectors
8-6 Vectors
8-6 Vectors
8-6 Vectors
MULTIPLE CHOICE
15. ANS: A
16. ANS: A
TOP: 8-4 Angles of Elevation and Depression
TOP: 8-6 Vectors
SHORT ANSWER
17. ANS:
5
TOP: 8-3 Solving Right Triangles
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ID: A
18. ANS:
6.7
TOP: 8-6 Vectors
19. ANS:
12.6
TOP: 8-6 Vectors
20. ANS:
10
TOP: 8-1 Similarity in Right Triangles
21. ANS:
12
cos X =
= 0.80
15
TOP: 8-2 Trigonometric Ratios
COMPLETION
22. ANS: TBD
23. ANS: TBD
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