Download CHAPTER 13 QUIZ RTF - Connective Restoration

Chapter 13 Mid-Chapter Quiz
1. Fill in the Unit Circle Template.
Evaluate without using a calculator.
4.
2.
3. Solve for x to the nearest degree.
5. Solve
using the diagram and the given
measurements. (The triangle is not drawn to scale.)
A = 41 , a = 14
Using what you know about special triangles, find
the values of x and y.
c.
d.
6. A ladder 16 feet long makes an angle of 58 with
the ground as it leans against a house. How far up
the side of the house does the ladder reach?
7. Find the reference angle for –78 .
8. An athlete throws the javelin at an angle of 45
with an initial velocity of 80 feet per second. How
far does the javelin go?
9. You are flying a kite and want to know its angle of
elevation. The string on the kite is 32 meters long
and the kite is level with the top of a building that
you know is 26 meters high. Use an inverse
trigonometric function to find the angle of elevation
of the kite.
14. Find the area of a sector with a central angle of
126 and a radius of 11.8 m. Round to the nearest
tenth.
a.
b.
c.
d.
15. A movie runs from 1:00 P.M. to 3:00 P.M.
Consider the rotation completed by the hour hand
of a clock during this time.
a. Find the measure of the angle generated by the
hour hand in both degrees and radians.
b. How does this angle compare with the angle
generated by the minute hand from 1:00 P.M. to
3:00 P.M.? Explain your reasoning.
16. The point
angle
. Find
is on the terminal side of an
.
17. Find the value of
degrees.
a.
b.
c.
d.
10. Which of the angles are coterminal?
11. Convert
12. Convert
to radian measure.
Solve the equation for
three significant digits.
radians to degree measure.
18.
13. Find the arc length of a sector with a radius of 4
feet and a central angle of 6 .
a.
b.
. Express your answer in
Round your answer to
Chapter 13 Mid-Chapter Quiz
Answer Section
1. ANS:
See answers key
PTS: 1
2. ANS:
PTS: 1
DIF: Level B
REF: MAL21677
TOP: Lesson 13.1 Use Trigonometry with Right Triangles
BLM: Knowledge NOT: 978-0-618-65615-8
3. ANS:
63
NAT: NCTM 9-12.GEO.1.d
KEY: evaluate | no calculator | cot
PTS: 1
DIF: Level B
REF: MAL21684
TOP: Lesson 13.1 Use Trigonometry with Right Triangles
KEY: triangle | tangent | inverse
BLM: Comprehension
NOT: 978-0-618-65615-8
4. ANS:
x = 4, y =
PTS:
TOP:
KEY:
NOT:
5. ANS:
1
DIF: Level B
REF: MAL21701
Lesson 13.1 Use Trigonometry with Right Triangles
trigonometry | right triangle | missing | side
978-0-618-65615-8
BLM: Comprehension
PTS: 1
DIF: Level B
REF: MAL21703
TOP: Lesson 13.1 Use Trigonometry with Right Triangles
KEY: solve | trigonometry | right triangle
BLM: Comprehension
NOT: 978-0-618-65615-8
6. ANS:
13.57 ft
PTS:
TOP:
KEY:
NOT:
7. ANS:
78
1
DIF: Level B
REF: MAL21704
Lesson 13.1 Use Trigonometry with Right Triangles
solve | word | trigonometry | right triangle
978-0-618-65615-8
BLM: Application
PTS: 1
DIF: Level B
REF: MAL21736
TOP: Lesson 13.3 Evaluate Trigonometric Functions of Any Angle
KEY: reference angle | degree
BLM: Knowledge NOT: 978-0-618-65615-8
8. ANS:
200 feet
PTS: 1
DIF: Level B
REF: MAL21743
TOP: Lesson 13.3 Evaluate Trigonometric Functions of Any Angle
KEY: word | trigonometric function
BLM: Application NOT: 978-0-618-65615-8
9. ANS:
PTS: 1
DIF: Level B
REF: MAL21753
TOP: Lesson 13.4 Evaluate Inverse Trigonometric Functions
BLM: Application NOT: 978-0-618-65615-8
10. ANS:
and
KEY: word | inverse trigonometric function
PTS: 1
DIF: Level A
REF: MAL21713
TOP: Lesson 13.2 Define General Angles and Use Radian Measure
KEY: angles | coterminal
BLM: Knowledge NOT: 978-0-618-65615-8
11. ANS:
radians
PTS:
TOP:
KEY:
NOT:
12. ANS:
1
DIF: Level B
REF: MAL21724
Lesson 13.2 Define General Angles and Use Radian Measure
convert | radians
BLM: Comprehension
978-0-618-65615-8
PTS:
TOP:
KEY:
NOT:
13. ANS:
TOP:
KEY:
NOT:
14. ANS:
TOP:
KEY:
NOT:
15. ANS:
1
DIF: Level B
REF: MAL21727
Lesson 13.2 Define General Angles and Use Radian Measure
convert | radians
BLM: Comprehension
978-0-618-65615-8
B
PTS: 1
DIF: Level B
REF: MAL21730
Lesson 13.2 Define General Angles and Use Radian Measure
circle | radius | arc length
BLM: Comprehension
978-0-618-65615-8
A
PTS: 1
DIF: Level B
REF: MAL21731
Lesson 13.2 Define General Angles and Use Radian Measure
area | sector | circle
BLM: Comprehension
978-0-618-65615-8
a.
b. The angle generated by the minute hand is 12 times the angle generated by the hour hand. The minute hand
makes two complete clockwise rotations, for an angle of
.
PTS:
NAT:
TOP:
KEY:
NOT:
1
DIF: Level C
REF: A2.13.02.SR.02
NCTM 9-12.PRS.4 | NCTM 9-12.PRS.1 | NCTM 9-12.CON.2 | NCTM 9-12.GEO.4.e
Lesson 13.2 Define General Angles and Use Radian Measure
short response | degree | radian | angle | rotation
BLM: Application
978-0-618-65615-8
16. ANS:
PTS:
TOP:
KEY:
NOT:
17. ANS:
TOP:
BLM:
18. ANS:
163
1
DIF: Level B
REF: MAL21733
Lesson 13.3 Evaluate Trigonometric Functions of Any Angle
point | terminal side | angle | cos
BLM: Comprehension
978-0-618-65615-8
A
PTS: 1
DIF: Level B
REF: MAL21745
Lesson 13.4 Evaluate Inverse Trigonometric Functions
KEY: arcsine | degrees
Comprehension
NOT: 978-0-618-65615-8
PTS: 1
DIF: Level B
REF: MAL21752
TOP: Lesson 13.4 Evaluate Inverse Trigonometric Functions
KEY: solve | equation | trigonometric
BLM: Comprehension
NOT: 978-0-618-65615-8