Free Printable Law of Sines/Cosines Assessments

1.

Choose the correct set-up.

a)

$\tan41=\frac{14}{x}$

b)

$\sin51=\frac{14}{x}$

c)

$\cos51=\frac{14}{x}$

d)

$\sin51=\frac{x}{14}$

e)

$\cos51=\frac{x}{14}$

2.

Choose the correct set-up.

a)

$\sin15=\frac{16}{x}$

b)

$\cos15=\frac{16}{x}$

c)

$\tan15=\frac{16}{x}$

d)

$\sin15=\frac{x}{16}$

e)

$\cos15=\frac{x}{16}$

3.

Sam views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19^o

b)

45^o

c)

71^o

d)

138^o

4.

A ramp into a warehouse is 14 feet long. The bottom of the ramp is 10 feet from the base of the warehouse. What is the angle of between the ramp and the ground?

a)

44.4 degrees

b)

45.6 degrees

c)

35.5 degrees

d)

54.5 degrees

5.

The course for a bike race follows a triangular shaped trail. The first leg is a straight 12-kilometer ride. After that, the biker must turn 253° to the left and follow the trail to the next turn. Turning 330° again to the left will take the biker to the finish line, which is exactly where he started. How long is the 2nd leg of the race? Round to the nearest tenth.

a)

16.4

b)

8.6

c)

8.8

d)

16.8

6.

2. Find: a

β = 70°

c = 11

α = 40°

a)

11

b)

7.5

c)

70

d)

8

7.

8.Solve for x

a)

3.85

b)

4.25

c)

3.35

d)

5.65

8.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

9.

What are the possible criteria for Law of Sines?

a)

SSA, ASA, AAS

b)

AAS, SSS, ASA

c)

SAS, SSS, ASA

d)

SAS, AAS, ASA

10.

What are the possible criteria for the Law of Cosines?

a)

SSA, SSS

b)

SSA, ASA

c)

SSS, SAS

d)

AAS, ASA

11.

Find c

a)

32

b)

14

c)

21

d)

17

12.

a)

$95^o$

b)

$127^o$

c)

$43^o$

d)

$137^o$

13.

a)

$44^o$

b)

$30^o$

c)

$34^o$

d)

$58^o$

14.

Find b. Round to the nearest tenth.

a)

16.4

b)

16.3

c)

12.0

d)

12.1

15.

The sides of a triangle is 3 cm, 4 cm and 5 cm. Find its area.

a)

60 sq. cm

b)

30 sq. cm

c)

12 sq. cm

d)

6 sq. cm

16.

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°.

a)

17.8m²

b)

14.6m²

c)

16.4m²

d)

12.9m²

Law of Sines/Cosines Assessments

Total questions: 16

Worksheet time: 36mins

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