In the accompanying diagram, mLC = 90, mLA = 42, and CA = 10. Whìch equation can be used to find AB? 10 A. tan 42° = AB AB B. tan 42° = 10 AB C. cos 42° = 10 42° 10 D. 10 cos 42° = AB In the accompanying diagram of right triangle ABC, a right angle is at C, AB = 26, and mLA = 27. Find the length of BC to the nearest tenth. 26 In the accompanying diagram of right triangle ABC, mLC = 90, MLBAC = 48, AC = x, and CB = 16.3. Which equation could be used to find the length of AC? B, 16.3 16.3 A. sin 48 = cos 48 = 16.3 В. 16.3 C. tan 48 = D. tan 48 = 16.3
In the accompanying diagram, mLC = 90, mLA = 42, and CA = 10. Whìch equation can be used to find AB? 10 A. tan 42° = AB AB B. tan 42° = 10 AB C. cos 42° = 10 42° 10 D. 10 cos 42° = AB In the accompanying diagram of right triangle ABC, a right angle is at C, AB = 26, and mLA = 27. Find the length of BC to the nearest tenth. 26 In the accompanying diagram of right triangle ABC, mLC = 90, MLBAC = 48, AC = x, and CB = 16.3. Which equation could be used to find the length of AC? B, 16.3 16.3 A. sin 48 = cos 48 = 16.3 В. 16.3 C. tan 48 = D. tan 48 = 16.3
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![In the accompanying diagram, mLC = 90,
mLA = 42, and CA = 10. Which equation can be
used to find AB?
ll. What is the length of side BC to one decimal
place?
10
A. tan 42° =
B
A. 6.7
В. 74
AB
AB
B. tan 42° =
С. 9.0
D. 14.9
10
AB
C. cos 42° =
10
42°
42
10
10
10
cos 42° =
АВ
D.
12.
Which equation shows a correct trigonometric ratio
for angle A in the right triangle below?
In the accompanying diagram of right triangle
Y. ABC, a right angle is at C, AB = 26, and
mLA = 27. Find the length of BC to the nearest
tenth.
17 cm
8 cm
26
15 cm
A. sinA =
B. tan A =
In the accompanying diagram of right
triangle ABC, mLC = 90, mZBAC = 48, AC = x,
and CB = 16.3.
C. cos A =
D. tan A =
Which equation could be used to find the length
of AC?
B
13. In right triangle ABC, mLC = 90, mLA = 63, and
AB = 10. If BC is represented by a, then which
equation can be used to find a ?
16.8
A. sin 63° =
10
a
B.
a = 10 cos 63°
16.3
A. sin 48 =
B. cos 48 =
16.3
10
C. tan 63° =
10
a
16.3
C. tan 48 =
D. tan 48 =
16.3
D.
a = tan 27°
63
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F409c2810-1952-4d7f-8aff-d0e4096e3981%2F440161d4-ccc0-4b6a-bdf3-4c2695a51720%2Fa87jqoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the accompanying diagram, mLC = 90,
mLA = 42, and CA = 10. Which equation can be
used to find AB?
ll. What is the length of side BC to one decimal
place?
10
A. tan 42° =
B
A. 6.7
В. 74
AB
AB
B. tan 42° =
С. 9.0
D. 14.9
10
AB
C. cos 42° =
10
42°
42
10
10
10
cos 42° =
АВ
D.
12.
Which equation shows a correct trigonometric ratio
for angle A in the right triangle below?
In the accompanying diagram of right triangle
Y. ABC, a right angle is at C, AB = 26, and
mLA = 27. Find the length of BC to the nearest
tenth.
17 cm
8 cm
26
15 cm
A. sinA =
B. tan A =
In the accompanying diagram of right
triangle ABC, mLC = 90, mZBAC = 48, AC = x,
and CB = 16.3.
C. cos A =
D. tan A =
Which equation could be used to find the length
of AC?
B
13. In right triangle ABC, mLC = 90, mLA = 63, and
AB = 10. If BC is represented by a, then which
equation can be used to find a ?
16.8
A. sin 63° =
10
a
B.
a = 10 cos 63°
16.3
A. sin 48 =
B. cos 48 =
16.3
10
C. tan 63° =
10
a
16.3
C. tan 48 =
D. tan 48 =
16.3
D.
a = tan 27°
63
A
![Name:
Date:
Intro to College Math-
'-Finding sides and angles review
CW/HW
1.
In the accompanying diagram, what is sin E?
5.
ABC, mLC = 90, AB = 18. and mLB = 52. Find
the length of BC to the nearest tenth.
In the accompanying diagram of right triangle
A.
В.
C.
D.
4
G
18
2.
In AABC, mLC = 90. If AB = 5 and AC = 4,
which statement is not true?
520
A. cos A =
B. tan A =
In the accompanying diagram of right triangle
CAR, mLA = 90, mLC= 59, and CR = 15. If AR
is represented by c, which equation can be used to
find c?
4
C. sin B =
D. tan B =
2 The diagram below shows right triangle ABC
59
15
13
5
R
C
A. sin 59° =
15
12
B. cos 59° =
Which ratio represents the tangent of LABC?
C. tan 59° =
15
D. sin 31° =
12
D.
C.
A.
13
В.
12
In the accompanying diagram, the legs of right
triangle ABC are 5 and 12 and the hypotenuse
is 13.
In the triangle shown, determine ZA to the nearest
7.
degree.
А. 32° В. 40°
What is the value of cos A ?
7cm
C. 50° D. 58°
A. #
В.
C.
D.
11cm
13
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F409c2810-1952-4d7f-8aff-d0e4096e3981%2F440161d4-ccc0-4b6a-bdf3-4c2695a51720%2Fumy5mt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Name:
Date:
Intro to College Math-
'-Finding sides and angles review
CW/HW
1.
In the accompanying diagram, what is sin E?
5.
ABC, mLC = 90, AB = 18. and mLB = 52. Find
the length of BC to the nearest tenth.
In the accompanying diagram of right triangle
A.
В.
C.
D.
4
G
18
2.
In AABC, mLC = 90. If AB = 5 and AC = 4,
which statement is not true?
520
A. cos A =
B. tan A =
In the accompanying diagram of right triangle
CAR, mLA = 90, mLC= 59, and CR = 15. If AR
is represented by c, which equation can be used to
find c?
4
C. sin B =
D. tan B =
2 The diagram below shows right triangle ABC
59
15
13
5
R
C
A. sin 59° =
15
12
B. cos 59° =
Which ratio represents the tangent of LABC?
C. tan 59° =
15
D. sin 31° =
12
D.
C.
A.
13
В.
12
In the accompanying diagram, the legs of right
triangle ABC are 5 and 12 and the hypotenuse
is 13.
In the triangle shown, determine ZA to the nearest
7.
degree.
А. 32° В. 40°
What is the value of cos A ?
7cm
C. 50° D. 58°
A. #
В.
C.
D.
11cm
13
12
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