GCSE Mathematics Targeting Grade C Shape and Space Unit 5 Bearings Can you… If not you need •Name the bearing of X from Y TOP •Work out simple bearings Practice 1: Simple Bearings •Use bearings to locate a position Practice 2: Locating a point Try a test TAIL X from Y, Y from X TOP Remember Bearings are always measured from the North line They are always measured in a clockwise direction What is the bearing of Y from X? What is the bearing of X from Y? Lesson They must have 3 digits Practice 1: Simple Bearings 1. N Diagram NOT accurately drawn A 63° 138° P B Work out the bearing of (i) B from P, (i) P from A, Next 2. North B Measure and write down the bearing of B from A. On the diagram, draw a line on a bearing of 107° from A. A Lesson Practice 2: 1. The diagram shows the position of Colwyn Bay and the position of Blackpool. N N Blackpool Colwyn Bay The bearing of a ship from Colwyn Bay is 032°. The bearing of the ship from Blackpool is 290°. Draw an accurate diagram to show the position of the ship. Mark this position with a cross Label is S. Next 2. A map is drawn to a scale of 1:25 000 Two schools A and B are 12 centimetres apart on the map. (a) Work out the actual distance from A to B. Give your answer in kilometres. N B A B is due East of A. C is another school. The bearing of C from A is 064°. The bearing of C from B is 312°. (b)Complete the scale drawing Mark, with a cross (´), the position of the school C. Lesson Measure and write down the bearing of B from A. On the diagram, draw a line on a bearing of 107° from A. Are you ready for the answers ? TAIL 1. This is a map of part of Northern England. Blackpool X A plane flies in a straight line from Preston to Stoke-on-Trent. X Preston X Halifax N (a) Wigan X How far does it fly? Give your answer in kilometres. X Manchester Liverpool X (a) 90 km Chester X (b) Measure and write down the bearing of Preston from Manchester X Stoke-on-Trent b) 317 Scale: 1 cm represents 10 km Next . Are you ready for the answers ? TAIL 2. N Diagram NOT accurately drawn H C N Hospital y Cinema A 72° Art gallery 360 – 90 – 108 = 162 y 180 162 9 2 The diagram shows the position of each of three buildings in a town. 72° + 9° = 81° The bearing of the Hospital from the Art gallery is 072°. So the bearing is 081 The Cinema is due East of the Hospital. The distance from the Hospital to the Art gallery is equal to the distance from the Hospital to the Cinema. Work out the bearing of the Cinema from the Art gallery. Lesson