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Law of Sine and Law of Cosine

Total questions: 10

Worksheet time: 24mins

Name
Class
Date
1.

Joey must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

a)

707643.58

b)

841.22

c)

877.62

d)

845.01

2.
Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C
a)
A= 43°, B= 47°, C= 90°
b)
A= 70°, B= 50.1°, C= 59.9°
c)
A= 50.1°, B= 70°, C= 59.9°
d)
A= 60°, B= 70°, C= 50°
3.
Calculate the length of AC.
a)
30
b)
24
c)
27
d)
35
4.

Based on the given information determine the number of unique triangles that may exist.

A= 70°, a=85, b=88

a)

1 Triangle

b)

2 Triangles

c)

No Triangle

d)

Cannot be determined with given information

5.

Based on the given information determine the number of unique triangles that may exist.

A= 37°, a=8, b=14

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

d)

3 Triangles

6.

Based on the given information determine the number of unique triangles that may exist.

A = 51º, b = 17, a = 20

a)

0

b)

1

c)

2

d)

3

7.
Find the measure of ∠A
a)
18
b)
28
c)
25
d)
24
8.

Which of the following is not a Law of Sines problem?

a)

AAS

b)

SSA

c)

SAS

d)

ASA

9.

Find the area of obtuse triangle ABC when A=41 degrees, a=18cm, and b=22cm.

a)

42.2 cm2

b)

197.4 cm2

c)

53.3 cm2

d)

126.7 cm2

10.

Farmer Chuck Norris needs to enclose a triangular field along a river. One side of fencing is already in place, and Farmer Chuck has 40 feet of fence for the open side. How far away from point A (along the river) can Farmer Chuck put the fence?

a)

23.4 feet

b)

85.3 feet

c)

39.3 feet

d)

51.3 feet