Bearings and scale drawingIB MYP Maths Standard: Mind map

Exam questions on Bearings and scale drawing

1. A ship sails from port $A$ to port $B$ on a bearing of $072^\circ$. Port $C$ is on a bearing of $162^\circ$ from $B$.
   Find the size of angle $ABC$.2 marks
2. A map of an island has a scale of $1:50\,000$. The villages Karu and Mele are $6.4$ cm apart on the map.
   Another map of the island has a scale of $1:25\,000$. Find the distance between Karu and Mele on this map.2 marks
3. A walker leaves a hut $H$ and walks $8$ km on a bearing of $040^\circ$ to a lake $L$. She then walks $6$ km on a bearing of $130^\circ$ to a summit $S$.
   Show that angle $HLS$ is $90^\circ$ and hence find the straight-line distance $HS$.3 marks