The Cosine Rule

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The Cosine Rule

Using the cosine rule. The * is an extension.

1. In the diagram below angle ABC=110. The sides AB=9 cm and BC=15 cm.

1. Calculate the length of A.C correct to 3 s.f

1 point

398 cm

52.3 cm

20.0 cm

7.23 cm

Clear selection

Question 2

2. Calculate the angle ACB in the diagram above.

1 point

136

Clear selection

3. In triangle ABC, angle BAC=84 degrees. The two sides adjacent to the angle BAC are 5 cm and 7 cm. Find the third side correct to the nearest cm.

1 point

8 cm

67 cm

81 cm

9 cm

Clear selection

4. Find the angle marked with a in the diagram shown below.

1 point

105

-0.252

1.83

Clear selection

Questions 5 and 6

5. Find the angle PAB in the diagram above. Give your answer correct to the nearest degree.

1 point

122

132

Clear selection

6. Find the bearing of P from B.

1 point

282

052

308

026

Clear selection

7. An isosceles triangle has a unique angle of 28 degrees and 2 two sides of length 7.4 cm. Find the length of the third side correct to 3 s.f.

1 point

96.5 cm

3.58 cm

11.1 cm

124 cm

Clear selection

8. A ship sails from A to B on a bearing of 050 degrees for 15 km. It then sails to C on a bearing of 165 degrees for 11 km. The ship then sets sails back to A. Find the TOTAL distance traveled by the ship correct to the nearest km.

1 point

14 km

42 km

52 km

40 km

Clear selection

9. In triangle PQR, PQ=12 cm, QR=14 cm, and PR=20 cm. Find the value of the largest angle.

1 point

100

105

Clear selection

10*. In triangle ABC, angle BAC=52 degrees. The side opposite the angle is 7 cm, and one of the adjacent sides is 5 cm. Find the other adjacent side.

1 point

1.47 cm

5.23 cm

8.23 cm

8.86 cm

Clear selection

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