**Source: Complete International Mathematics For Cambridge IGCSE - David Rayner, Jim Fenson**

1. Find the sides marked as unknown in the figures.

All lengths are in centimetres.

a. | ||

b. | ||

c. | ||

d. | ||

e. | ||

f. |

2. In the following questions, find each angle marked *

a. | ||

b. | ||

c. | ||

d. | ||

e. | ||

f. | ||

g. |

3. A destroyer D and a cruiser C leave port B at the same time.

The destroyer sails 25 km on a bearing of 40° and the cruiser sails 030 km on a bearing of 320°.

How far apart are the ships?

**35.6 k**

**m**

a) AE

b) Angle EAC

c) The angle of elevation of E from A

a) | ||

b) | ||

c) |

AE =

**10.8 m**

Angle EAC =

**73.1°**

The angle of elevation of E from A =

**32.7°**5. An aircraft flies from its base 200 km on a bearing 162°, then 350 km on a bearing 260°,

and then returns directly to base.

Calculate the length and bearing of the return journey.

Let base = BAircraft flies from base 200 km on a bearing of 162° Now it reaches point PThen it flies 350 km on a bearing of 260°. Now it reaches point QThen it returns to B, forming a triangle. |

**378 km**and the bearing =

**48.4°**

**6. Calculate WX, given YZ = 15 cm.**

7.A golfer hits her ball a distance of 127 m so that it finishes 31 m from the hole.

The length of the hole is 150 m.

Calculate the angle between her line of her shot and the direct line to the hole.

Let Golfer be at point GThe ball is hit a distance of 127 m and lands at point BLet the Hole be HDistance between B and H = 31 m Distance between H and G = 31 m |

**8.6°**