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Infinite Geometry - Kuta - Review for Quest - Trigonometry.pdf
Infinite Geometry - Kuta - Review for Quest - Trigonometry
.pdf
School
High School Summer Program
*
*We aren't endorsed by this school
Course
MATH GEOMETRY
Subject
Mathematics
Date
Jan 8, 2025
Pages
22
Uploaded by GeneralBraveryDolphin48
©
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Geometry Enrichment
Kuta - Review for Quest - Trigonometry
Name___________________________________ ID: 1
Date________________
©
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-1-
Find the value of each trigonometric ratio.
1) sin
X
7
24
25
X
Y
Z
2) sin
X
27
36
45
X
Y
Z
3) cos
C
12
35
37
C
B
A
4) cos
Z
21
28
35
Z
Y
X
5) tan
X
14
48
50
X
Y
Z
6) tan
Z
32
24
40
Z
Y
X
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-2-
Find the value of each trigonometric ratio to the nearest ten-thousandth.
7) sin 5°
8) sin 22°
9) cos 9°
10) cos 59°
11) tan 46°
12) tan 49°
Find each angle measure to the nearest degree.
13) sin W = 0.9135
14) sin X = 0.9613
15) cos X = 0.8660
16) cos U = 0.9455
©
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Find the measure of the indicated angle to the nearest degree.
17)
27
32
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18)
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60
?
19)
46
55
?
20)
49
16
?
21)
40
104
?
22)
7
3
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22
51
?
24)
11
29
?
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-4-
Find the missing side. Round to the nearest tenth.
25)
7
x
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26)
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9
38°
27)
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x
40°
28)
6
x
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29)
10
x
31°
30)
6
x
54°
31)
x
9
40°
32)
11
x
29°
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Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
33)
29
97°
55°
34)
49
30°
24°
35)
23
32°
20°
36)
34
60°
55°
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-6-
Find the measure of the line segment indicated.
37)
GD
=
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FD
=
6
Find
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H
G
F
E
D
38)
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=
42
GD
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29
Find
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G
F
E
D
T
39)
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SV
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S
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40)
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BE
=
25
Find
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B
C
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E
M
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-7-
41)
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3
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42)
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Find
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43)
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45)
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R
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T
U
E
46)
XZ
=
40
WY
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Find
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m
W
X
Y
Z
R
47)
PS
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13
PR
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VR
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Find
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m
P
Q
R
S
V
48)
EC
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30
FD
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Find
ADC
m
F
E
D
C
A
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-9-
Find the area of each figure. Round your answer to the nearest tenth.
49)
2
5
50)
5
4
158°
51)
2
4
88°
52)
2
3
97°
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-10-
53)
41 km
54)
28 km
55)
32 mi
56)
21 cm
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-11-
57)
Perimeter = 204 yd
58)
Perimeter = 128 m
59)
Perimeter = 192 km
60)
Perimeter = 259 yd
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Geometry Enrichment
Kuta - Review for Quest - Trigonometry
Name___________________________________ ID: 1
Date________________
©
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Find the value of each trigonometric ratio.
1) sin
X
7
24
25
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Y
Z
24
25
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X
27
36
45
X
Y
Z
4
5
3) cos
C
12
35
37
C
B
A
12
37
4) cos
Z
21
28
35
Z
Y
X
3
5
5) tan
X
14
48
50
X
Y
Z
24
7
6) tan
Z
32
24
40
Z
Y
X
3
4
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Worksheet by Kuta Software LLC
-2-
Find the value of each trigonometric ratio to the nearest ten-thousandth.
7) sin 5°
0.0872
8) sin 22°
0.3746
9) cos 9°
0.9877
10) cos 59°
0.5150
11) tan 46°
1.0355
12) tan 49°
1.1504
Find each angle measure to the nearest degree.
13) sin W = 0.9135
66°
14) sin X = 0.9613
74°
15) cos X = 0.8660
30°
16) cos U = 0.9455
19°
©
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Worksheet by Kuta Software LLC
-3-
Find the measure of the indicated angle to the nearest degree.
17)
27
32
?
58°
18)
25
60
?
25°
19)
46
55
?
33°
20)
49
16
?
18°
21)
40
104
?
69°
22)
7
3
?
23°
23)
22
51
?
64°
24)
11
29
?
22°
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Worksheet by Kuta Software LLC
-4-
Find the missing side. Round to the nearest tenth.
25)
7
x
49°
10.7
26)
x
9
38°
7.0
27)
7
x
40°
9.1
28)
6
x
64°
13.7
29)
10
x
31°
16.6
30)
6
x
54°
10.2
31)
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9
40°
6.9
32)
11
x
29°
12.6
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-5-
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
33)
29
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55°
238.7
34)
49
30°
24°
1193.2
35)
23
32°
20°
323.3
36)
34
60°
55°
554.4
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-6-
Find the measure of the line segment indicated.
37)
GD
=
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G
F
E
D
10
38)
FD
=
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GD
=
29
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G
F
E
D
T
20
39)
TV
=
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SV
=
17
Find
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T
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V
B
15
40)
CM
=
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BE
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25
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B
C
D
E
M
40
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41)
SN
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V
N
24
42)
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X
W
V
U
Q
13
3
43)
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=
26
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m
=
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Find
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S
T
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V
E
15
3
44)
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=
20
3
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Find
XV
Y
X
W
V
D
20
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Worksheet by Kuta Software LLC
-8-
Find the measure of the angle indicated. Round your answer to the nearest tenth degree.
45)
SU
=
30
RE
=
8
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ETU
m
R
S
T
U
E
61.9
°
46)
XZ
=
40
WY
=
30
Find
XYZ
m
W
X
Y
Z
R
106.3
°
47)
PS
=
13
PR
=
11
VR
=
6
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VPQ
m
P
Q
R
S
V
67.4
°
48)
EC
=
30
FD
=
16
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ADC
m
F
E
D
C
A
61.9
°
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Worksheet by Kuta Software LLC
-9-
Find the area of each figure. Round your answer to the nearest tenth.
49)
2
5
5
50)
5
4
158°
3.7
51)
2
4
88°
4
52)
2
3
97°
3
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-10-
53)
41 km
6108.6
km²
54)
28 km
2849
km²
55)
32 mi
443.4
mi²
56)
21 cm
191
cm²
©
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Worksheet by Kuta Software LLC
-11-
57)
Perimeter = 204 yd
3003.4
yd²
58)
Perimeter = 128 m
1236.1
m²
59)
Perimeter = 192 km
2660.4
km²
60)
Perimeter = 259 yd
4974.8
yd²