AnswersFall 24 GMS Geometry Concepts and Connections BLaw of Sines (Sec 8-3)

Law of Sines Answers

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1
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Law of sines:

Question illustration
A
2.9 units
B
3.8 units
C
5.1 units
D
6.2 units
2
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Law of sines:

Question illustration
A
1.8 units
B
2.0 units
C
3.2 units
D
3.7 units
3

Law of sines:

Question illustration
A
11.5°
B
44.4°
C
68.0°
D
81.9°
4

Law of sines:

Question illustration
A
20°
B
34°
C
41°
D
53°
5

Law of sines:

Question illustration
A
StartFraction (3) sine (66 degrees) Over sine (38 degrees) EndFraction
Option A
B
StartFraction sine (66 degrees) Over (3) sine (38 degrees) EndFraction
Option B
C
StartFraction (3) sine (38 degrees) Over sine (66 degrees) EndFraction
Option C
D
StartFraction sine (38 degrees) Over (3) sine (66 degrees) EndFraction
Option D
6

Law of sines:

Question illustration
A
1.5 units
B
2.1 units
C
2.9 units
D
3.6 units
7

Use the law of sines to find the value of w.Law of sines:

Question illustration
A
1.4 cm
B
4.0 cm
C
6.0 cm
D
7.3 cm
8

Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z is y.

Question illustration
A
1.4 units
B
1.6 units
C
2.5 units
D
2.6 units
9

Consider the diagram and the proof below.Given: In △ABC, AD ⊥ BCProve:

Question illustration
A
b = c
B
StartFraction h Over b EndFraction = StartFraction h Over c EndFraction
Option B
C
csin(B) = bsin(C)
D
bsin(B) = csin(C)
10

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

Question illustration
A
2.2 units
B
2.4 units
C
3.0 units
D
3.3 units

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