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BEARINGS
Introduction:
There are many situations in which you might need to describe your position and direction of travel. In mathematics, we use more precise ways to describe position and direction of travel and this is done by use of bearings.
Bearings have many applications in our everyday lives such as in the fields of engineering. i.e Builder architects, sailors and surveyors all use direction and angles in their work. Therefore in this topic you will learn how to tell the bearing of a point from a given point and also determine accurately the distance between two points.
7.1 Compass directions;
The four cardinal(main) directions are North (N), East (E), South (S), West (W). The four intercardinal (or ordinal) directions are formed by bisecting the angle of the cardinal directions: North-east(NE), South-east(SE), South-west(SW) and North-west(NW).
7.1 Exercise Set
The map below shows part of Muni Girls Sec school environment. Use it to answer the questions below.
1. What is East of the Office?
2. What is NW office ?
3. What is SE of boys dormitory and E of classroom?
4. Draw a compass direction at the office and identify the directions of each of the places shown on the map.
7.2 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 anticlockwise. Below is how one can turn clockwise
7.3 Identifying the angles in relation to the compass direction.
Activity : Make the following turns and in each case state the size of the angle you have turned through.
EXAMPLE
1. What angle do you turn through if you turn:
(a). from NE to NW anticlockwise?
7.2 Exercise Set
7.4 Bearings
EXAMPLE
1. What is the bearing of B from A?
7.3 Exercise Set
7.4 Exercise Set
Activity of Intergration.
Priscilla is in Kampala City and has been told to use a car to move to Lira town. She has never gone to Lira. She has been given the map of Uganda showing routes through which she can access Lira town.
Support: Mathematical instruments, pencil, paper, pens, tracing paper and map of Uganda.
Resources: Knowledge of construction of figures like triangles, lengths of sides of triangles, operations on numbers
Task: Priscilla wants to use the short distance from Kampala to Lira. Explain how Priscilla can determine the shortest distance. Using the map given to her is it possible for Priscilla to use the shortest distance she has determined. Explain your answer.
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