CHAPTER 7

Key words: angle, direction, bearing, scale, line, turn 

The diagram below shows the bearing of Kabale from where the lady is standing

Angles and Turns 

An Angle is a measure of rotation or turn. A turn is to rotate about a point. 

A turn can be described as a quarter turn, Half turn, three-quarter turn or a complete turn. This can either be done clockwise or anti-clockwise. 

There are 360 degrees in one complete turn.

Below is how one can turn clockwise 

Identifying the angles in relation to the compass direction 

You need to refer to compass points: north (N), south(S), east(E), west(W), northeast (NE), southeast (SE), southwest (SW) and northwest (NW) 

Activity. Identifying the angles in relation to the compass direction

Do the following turns and in each case state the size of the angle you have turned through.

 i) Turn from N to S clockwise or anticlockwise 

ii) Turn from NE to SE clockwise

iii) Turning clockwise from NE to E  

Example 

What angle do you turn through if you turn: 

• (a) from NE to NW anticlockwise? 

• (b) from E to N clockwise? 

solution

Bearings

Activity : Estimating bearings of some places within the school compound. 

Draw a sketch of your school and estimate the bearings of each building found in the School and the sports grounds. i.e offices, classrooms, labaratory, kitchen, library e.t.c 

NOTE 

Your compass direction must be drawn on the administration block All bearings must be stated using three digits. All bearings are measured in a horizontal plane. 

Exercise

Scale Drawings 

Using bearings, scale drawings can be constructed to solve problems. This involves drawing accurate drawings and showing clearly the directions. 

EXAMPLES 

1. A ship sails 20 km North east, then 18 km south, and then stops. 

(a) Draw a scale drawing to show the routes of the ship 

(b) How far is it from its starting point when it stops? 

(c) On what bearing must it sail to return to its starting point? 

• The path of the ship can be drawn using a scale of 1 cm for every 2 km, as shown in the diagram.

Exercise