Considering the appropriate trigonometric rule

12 questions

1. Match the correct rules, theorem or formulae.
2. Given a triangle with lengths labelled a=8 cm, B=72° and c=12 cm work out length b cm.
3. Given a triangle with lengths labelled a=32 cm, b=24 cm and c=40 cm, work out angle B.
4. A plane starts at City X and flies 4 km due north to City A, then turns at a bearing of 068 for 10.8 km to City B. If the plane flew directly from City X to City B, what is the distance?
5. A plane starts at an airport and then travels North 8 km, then North East 4.2 km. What is the distance the plane needs to travel to get back to the airport?
6. A plane starts at an airport and then travels North 8 km, then North East 4.2 km. What is the bearing the plane needs to travel at to get back to the airport?
7. Which of these formulae are the correct rearrangements where the subject of the formula is a length?
8. Which of these formulae are the correct rearrangements where the subject of the formula is angle A?
9. Given a triangle with vertices labelled A, B and C, how do you know you are able to use the sine rule?
10. Given a triangle with vertices labelled A, B and C, how do you know you are able to use the cosine rule?
11. A triangle has 3 vertices, A, B and C. It also has the corresponding lengths a, b and c. When a = 8.25 cm, C = 76.0°, b = 8 cm, work out the perimeter.
12. A triangle has vertices, N, L and M. It has corresponding lengths n, l and m. When M = 94.4°, n = 8.9 cm, N = 53.8° and l = 5.8 cm, work out the perimeter (1 d.p.).

License: OGL