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.
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| f. |  |  |
2. In the following questions, find each angle marked *
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| 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?
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a) AE
b) Angle EAC
c) The angle of elevation of E from A
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| 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 = B Aircraft flies from base 200 km on a bearing of 162° Now it reaches point P Then it flies 350 km on a bearing of 260°. Now it reaches point Q Then it returns to B, forming a triangle.  |   |
6. Calculate WX, given YZ = 15 cm.
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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 G The ball is hit a distance of 127 m and lands at point B Let the Hole be H Distance between B and H = 31 m Distance between H and G = 31 m  |  |