Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram indicates the locations of the three towns, $A$, $B$ and $C$. $B$ lies due north of $A$, and the bearing of $C$ from $A$ is $220^\circ$. $AB = 25$ km and $AC = 38$ km.
(a)[1]

Determine the bearing of $A$ from $C$.

(b)[3]

Show that $BC = 59.4$ km, correct to 3 significant figures.

(c)[4]

Calculate the bearing of $C$ from $B$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct bearing is $040$.

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