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

Law of Sines (Sec 8-3) Answers

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1
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m∠K = °

A
42
B
62
C
82
2
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JK ≈

A
7.11
B
9.28
C
10.52
3

LK ≈

A
7.49
B
15.96
C
21.07
4

However, because this is the ambiguous case, the measure of angle K could also be °.

A
43
B
66
C
151
5

A forest ranger in the west observation tower spots a fire 41° north of east. Fifteen miles directly east, the forest ranger in the east tower spots the same fire at 56° north of west. How far away is the ranger who is closest to the fire? Approximate the distance by rounding to the nearest hundredth of a mile.

A
9.91 mi
B
11.87 mi
C
12.53 mi
D
18.95 mi
6

Which triangle meets the criteria for the ambiguous case?

A
Option
B
Option
C
Option
7

Triangle JKL meets the criteria, which means it is the ambiguous case.

A
AAS
B
ASA
C
SSA
8

How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2?

A
zero
B
one
C
two
9

Cross multiply: 11sin(18°) = .

A
7sin(K)
B
11sin(K)
C
Ksin(7)
10

Round to the nearest degree: m∠K ≈ °.

A
24
B
29
C
49

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