Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
The diagram indicates where the three towns, $A$, $B$ and $C$, are located.
(a)[1]
$B$ lies on a bearing of $072^\circ$ from $A$. $C$ lies on a bearing of $150^\circ$ from $A$. $AB = 300\text{ km}$ and $AC = 280\text{ km}$. Find the bearing of $A$ from $C$.
(b)[4]
Calculate the value of $BC$.
(c)[5]
$D$ is $145\text{ km}$ from town $B$. The angle $ADB$ is $120^\circ$. Find the two possible bearings of $D$ from $A$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Bearing of $A$ from $C$: $330^{\circ}$” …