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BEARINGS Bearing gives the direction of a point with reference to another point. The bearing of a point is given by the angle turned from another given point. In addition, the distance between the two points may be given so as to fix their exact positions. There are two types of bearings: compass bearings and true north bearings. The direction of a point from another can be determined using a compass. A compass gives the direction of an object starting from the North. The compass. The four main directions of a compass are: North, South, East and West. The secondary bearings are North East (NE), South East (SE), North West (NW) and South West (SW). NW lies exactly between North and West; NNW lies exactly between N and NW. There are 16 points on the compass. Any other direction in between is stated using an angle in degrees. For example, N 20 0 W or S 40 0 E. The angle between the main directions, for example, North and East, is 90 0 . The angle between North and North East is 45 0 . There are two methods of giving a bearing:
(i) Compass bearings On a compass, the bearings are given in terms of the angle turned from north or south. In the figure below the bearing of A from O is said to be N 30 0 E or 30 0 East of North. (ii) True north bearings The bearing is given in terms of the angle, described clockwise, which the direction makes with the north line. For example, OA is on a bearing of 030 0 . True north O bearings are also called three-digit bearings because they are given in three digits. The bearing directly due north is is given as 000 0 , the bearing due North East is 045 0 , due South as 180 0 . Example. (a) The point B is in the direction North West (NW) from the point A. (b) The direction of C from A is East South East (ESE) (c) The direction of D from A is South West (SW). N N 45 0 A B A Example 22.5 0 N A D 45 0 C N P N O (a) 60 40 0 S Q O The direction of P from O is N 60 0 E. (start from North turn 60 0 towards the East)
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Page 5 and 6: Exercise 1. A man in Nairobi receiv
Page 7 and 8: 3. A radio that cost sh. 15 000 was
Page 9 and 10: 1 20000 ×1 2 × 21 Therefore, = sh
Page 11 and 12: 8. A business man had sh. 1 200 000
Page 13 and 14: 2. A dealer marks a price sh. 4 800
Page 15 and 16: (ii) income tax (sh.) 10 100 000 10
Page 17 and 18: (b) Express the total income tax fo
Page 19 and 20: O is at the vertex of the angle, an
Page 21 and 22: Exercise 1. In the figure shown, x
Page 23 and 24: t s 75 0 Solution s and 75 0 are ve
Page 25 and 26: The measurements of the scale drawi
Page 27: 5. The floor of a school hall is re
Page 31 and 32: N A B 15km S 75 0 A Then we choose
Page 33 and 34: - We measure AB = 4.8cm. But 1cm re
Page 35 and 36: Types of polygons Name Number of si
Page 37 and 38: 50 0 +w +x = 180 0 50 0 + 50 0 + x
Page 39 and 40: (d) (e) Quadrilaterals These are fl
Page 41 and 42: n n-2 From the above table we see t
Page 43: 8. One of the large and one of the

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