Quiz about Trigonometry : Sine and cosine rules

Question 1

Find the missing side x

Accepted Answer

6.65cm

Answer

1.74cm

Answer

5.66cm

Answer

7.14cm

Question 2

Find the missing side x

Accepted Answer

60.5mm

Answer

10.3mm

Answer

30.1mm

Answer

58.1mm

Question 3

Find the missing side x

Accepted Answer

6.39cm

Answer

12.7cm

Answer

7.31cm

Answer

8.13cm

Question 4

Find the missing side x

Accepted Answer

30.4cm

Answer

925cm

Answer

42.3cm

Answer

21.9cm

Question 5

Find the missing side x

Accepted Answer

2.36cm

Answer

9.21cm

Answer

3.16cm

Answer

4.51cm

Question 6

Question 6.

Accepted Answer

10.8cm

Answer

11.9cm

Answer

16.3cm

Answer

23.6cm

Question 7

Find the area of the triangle

Accepted Answer

27.6m2

Answer

28.0m2

Answer

26.9m2

Answer

26.9cm2

Question 8

Find the area of the triangle

Accepted Answer

72.3cm2

Answer

84.4cm2

Answer

77.9cm2

Answer

78cm2

Question 9

What rule should you use?

Accepted Answer

Sine

Answer

Cosine

Question 10

What rule should you use?

Accepted Answer

Sine

Answer

Cosine

Question 11

What rule should you use?

Accepted Answer

Cosine

Answer

Sine

Question 12

Question 12.

Accepted Answer

10.1

Answer

10.0

Answer

10.9

Answer

8.86

Question 13

Question 13.

Accepted Answer

6.99

Answer

6.33

Answer

13.59

Answer

7.83

Question 14

What is the measure of angle A?

Accepted Answer

78 degrees

Answer

50 degrees

Answer

60 degrees

Answer

74 degrees

Question 15

Which of the following formulas is the Cosine rule?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

c² = a² + b² - 4ac + cosA

Answer

c² = a² - b² - 2abcosC

Answer

(cos A)/a = (cos B)/b

Question 16

We can use SOH-CAH-TOA for...

Accepted Answer

Right Triangles only

Answer

Any triangle ever

Answer

Non-right triangles only

Answer

Never

Question 17

Find the area of the triangle

Accepted Answer

27.6m2

Answer

28.0m2

Answer

26.9m2

Answer

26.9cm2

Question 18

Find the area of the triangle

Accepted Answer

72.3cm2

Answer

84.4cm2

Answer

77.9cm2

Answer

78cm2

Question 19

Question 19.

Accepted Answer

10.8cm

Answer

11.9cm

Answer

16.3cm

Answer

23.6cm

Question 20

Find the missing side x

Accepted Answer

2.36cm

Answer

9.21cm

Answer

3.16cm

Answer

4.51cm

Question 21

Jack and Jill are considering to buy a land. A surveyor has given the an accurate sketch as shown below. What is the length of the side opposite angle D?

Accepted Answer

42 ft

Answer

21 ft

Answer

84 ft

Answer

32 ft

Question 22

Triangle ABC has side a = 3, side b = 5, and side c = 7. Find the size of angle A.

Accepted Answer

220

Answer

380

Answer

1200

Answer

1500

Question 23

Find the length of AB

Accepted Answer

8

Answer

10

Answer

6.1

Answer

4.9

Question 24

Draw the following triangle and label the sides (a,b,c) and their corresponding opposite angles (A,B,C). A = 58⁰, B = 76⁰and c = 8, using your diagram decide which rule to use and find the size of angle C.

Accepted Answer

460

Answer

1360

Answer

960

Answer

500

Question 25

Question 25.

Accepted Answer

41.1cm2

Answer

27.11cm2

Answer

43.2cm2

Answer

29.4cm2

Question 26

Find the length of x.

Accepted Answer

5.57

Answer

10.63

Answer

5.32

Answer

9

Question 27

if a = 3 cm, b = 12 cm, and c = 4 cm, what is the length of d?

Accepted Answer

13 cm

Answer

12.65 cm

Answer

5 cm

Answer

12 cm

Question 28

Find the value of a.

Accepted Answer

13.35

Answer

12.91

Answer

13.05

Answer

12.83

Question 29

Find the value of c.

Accepted Answer

19.43

Answer

31

Answer

15.16

Answer

24.24

Question 30

Find the value of c.

Accepted Answer

24.7

Answer

28.2

Answer

23.4

Answer

25.3

Question 31

What is the measure of angle A?

Accepted Answer

77.78 degrees

Answer

50 degrees

Answer

60.63 degrees

Answer

74.5 degrees

Question 32

Find the missing side x

Accepted Answer

6.65cm

Answer

1.74cm

Answer

5.66cm

Answer

7.14cm

Question 33

What rule should you use?

Accepted Answer

Sine

Answer

Cosine

Question 34

Which of the following formulas is the Cosine rule?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

c² = a² + b² - 4ac + cosA

Answer

c² = a² - b² - 2abcosC

Answer

(cos A)/a = (cos B)/b

Question 35

Find the unknown side length, c.

Accepted Answer

6.67

Answer

6.52

Answer

6.38

Answer

6.91

Question 36

Find the length of BC using Cosine Rule.

Accepted Answer

25.03

Answer

626.70

Answer

313.35

Question 37

Find the missing side x

Accepted Answer

2.36cm

Answer

9.21cm

Answer

3.16cm

Answer

4.51cm

Question 38

Calculate the area of Triangle ABC if b=32, c=27 and angle A = 108 degrees

Accepted Answer

411sq units

Answer

400sq units

Answer

345sq units

Answer

525sq units

Question 39

What is the area of this triangle?

Accepted Answer

54.092 meters squared

Answer

14.494 meters squared

Answer

108.184 meters squared

Answer

54.35 meters squared

Question 40

Find the area of the triangle

Accepted Answer

72 meters squared

Answer

8.8 meters squared

Answer

18.09 meters squared

Answer

70.2 meters squared

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