Download Unit Practice Exam

Trigonometry
Week Of
Feb. 2
Right Triangle Trigonometry: Practice Exam
Unit Practice Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Q1 Which of the following is equivalent to
Q4 What is m∠N to the nearest degree?
csc x?
P
1
sec x
1
B
tan x
A
14
Q
N
C
(sin x )(cos x )
D
1
sin x
A
16◦
B
17◦
63◦
C
D
73◦
Q5 Luis is standing on a street in New
of 2200 feet. He sees his house on the
ground at a 45◦ angle of depression.
What is Eric’s horizontal distance from
his house at this point?
2200ft
York City looking at the top of the
Empire State Building with a 30◦ angle
of elevation. He is 767.6 meters from
the Empire State Building. How tall is
the Empire State Building?
è
Q2 Eric is flying an airplane at an altitude
45◦
4
30◦
767.6 m
A
110ft
C
1100ft
A
383.8 m
C
664.8 m
B
220ft
D
2200ft
B
443.2 m
D
1329.5 m
Q3 Which is the closest value of the
adjacent-to-hypotenuse ratio of a 45◦
angle?
45◦
A
1.414
C
1
B
0.5 11
D
0.707
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AY2015 Unit
Trigonometry
Right Triangle Trigonometry: Practice Exam
Q6 Which of the following statements is
true?
Q8 A proposed wheelchair ramp is shown.
What is the rise of the ramp to the
nearest inch?
A
As the measure of an acute angle
increases, the sine and cosine of
the angle increase.
B
As the measure of an acute angle
increases, the sine and cosine of
the angle decrease.
C
Week Of
Feb. 2
4.5◦
180 in
As the measure of an acute angle
increases, the sine and tangent of
the angle increase.
A
14 inches
C
81 inches
B
12 inches
D
181 inches
Q9 Which ratio has the same value as
D
As the measure of an acute angle
increases, the cosine and tangent
of the angle decrease.
Q7 In the figure shown, cos P = 0.60. What
is the length of PN?
sec ∠E
G
F
E
N
A
cos ∠E
C
cos ∠G
B
cot ∠E
D
csc ∠G
Q10 In the diagram shown, m∠ B = 42◦ and
AB = 25 feet. Which equation can be
used to calculate the value of x?
P
24 cm
M
A
0.25 centimeter
B
14.4 centimeter
A
25 ft
x
42◦
C
C
D
B
40 centimeter
44 centimeter
[Page: 2 of 4]
A
x = 25(sin 42◦ )
C
x = 25(tan 42◦ )
B
x = 25(cos 42◦ )
D
x=
sin 42◦
25
AY2015 Unit
Trigonometry
Week Of
Feb. 2
Right Triangle Trigonometry: Practice Exam
Q11 Which of the following can be used to
Q12 In the diagram shown, a 12-foot slide
determine m∠ A?
C
is attached to a swing set. The slide
makes a 65◦ angle with the swing set.
Which answer most closely represents
the height of the slide?
B
12
65◦
ft
?
A
A
B
sin
−1
cos
−1
BC
AC
BC
AC
AC
BC
BC
AC
A
5.0 feet
C
10.9 feet
B
5.6 feet
D
25.7 feet
Q13 Which is the exact value of cot 60◦ ?
A
B
C
D
sin−1
sin
−1
C
D
1
√
3
√
3
1
2
√
3
√
3
2
Multiple Response
Select all choices that complete the statement or correctly answer the question.
Q14 Use the triangle shown to determine which of the ratios has a value of
√
9 3 cm
18 cm
[Page: 3 of 4]
60
◦
9 cm
1
.
2
A
sin 30
D
csc 60
B
cos 30
E
cos 60
C
tan 30
F
sec 30
AY2015 Unit
Trigonometry
Right Triangle Trigonometry: Practice Exam
Week Of
Feb. 2
Numeric Response
Q15 When the sun’s rays are at an angle
◦
of 39 , the distance from the top of
Dakota’s head to the tip of her shadow
is 77 inches. About how tall is Dakota?
Round your answer to the nearest inch
if necessary.
39◦
Q16 What is the value of csc x, if sin x =
5
?
13
77 in.
h
Short Answer
Q17 Use 4 ABC to answer the following.
A
b
Q18 A painter leans a 12-foot ladder against
a wall. The angle of elevation of the
ladder is 55◦ .
C
Determine the distance the ladder
reaches up the wall to the nearest tenth.
a
c
B
Using trigonometric ratios, name the
b
ratio in two different ways.
c
[Page: 4 of 4]
AY2015 Unit