Using bearings in trigonometry test questions

1

When would you use the sine rule?

When you need to find a side and you know two sides and the included angle

When you need to find a side and you know one side and three angles

When you need to find an angle (or bearing) and you know three sides

2

When would you use the cosine rule?

When you need to find a side and you know two sides and the included angle

When you need to find a side and you know one side and three angles

When you need to find an angle (or bearing) if you know two sides and an angle

3

How would you write the bearing 45° clockwise from north?

45°

045°

315°

4

How would you write the bearing 45° anticlockwise from north?

45°

045°

315°

5

How would you write the bearing 250° anticlockwise from north?

090°

110°

250°

6

A hiker begins her journey at a youth hostel (Y) and walks for 4km on a bearing of 015° to her lunch stop (L).

She then walks on a bearing of 110° for 5.2km until she reaches the campsite (C).

This is a sketch of the hiker's journey. What angle is made between the lines YL and LC?

85°

125°

195°

7

How far from the youth hostel (Y) is the camp site (C)?

1.26 km

6.28 km

6.56 km

8

What bearing would the hiker use to head back from the campsite (C) to the youth hostel (Y)?

51°

251°

321°

9

Ship A leaves port P and travels on a bearing of 200°. A second ship B leaves the same port P and travels on a bearing of 165°. After half an hour ship A has travelled 5.2 km and ship B has travelled 5.8 km. How far apart are the ships after half an hour? Give the answer to three significant figures.

Diagram showing positions of 2 yachts compared to a lighthouse

10.9 km

10.8 km

3.36 km