Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram places three points $A$, $B$ and $C$ on level ground. The bearing of $C$ from $A$ is $145^\circ$ and $\angle ACB = 38^\circ$. Also, $AC = 65\text{ m}$ and $BC = 95\text{ m}$. A north arrow is included. The diagram is marked NOT TO SCALE.
(a)[2]

Find the bearing from $C$ to $B$.

(b)[3]

Show that $AB = 59.3\text{ m}$, correct to $1$ decimal place.

(c)[4]

Work out the bearing from $A$ to $B$.

Worked solution & mark scheme

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