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

Non-right-angled triangles — practice question

A yacht travels around the triangular path shown. The bearing of $B$ from $A$ is $135^\circ$. $BC = 3.7\text{ km}$, $AC = 2.8\text{ km}$ and $\angle ABC = 42^\circ$.
(a)[3]

Show that $\angle CAB = 62.2^\circ$, accurate to 1 decimal place.

(b)[2]

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

(c)[4]

The yacht travels from $A$ to $B$ to $C$ and back to $A$. Calculate the total length of the route.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence $\angle CAB \approx 62.15^{\circ}$

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