Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram illustrates the straight roads linking town $A$, town $B$ and town $C$. $AC = 60\text{ km}$, $CB = 87\text{ km}$ and $B$ lies due east of $A$. The bearing of $C$ measured from $A$ is $038^{\circ}$.
(a)[5]

Show that angle $ACB$ is $95.1^{\circ}$, correct to $1$ decimal place.

(b)[6]

Calculate the car’s average speed for this journey. Give your answer in kilometres per hour.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Angle $CAB$ is $52$

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