Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram indicates the distances between Mumbai (M), Kathmandu (K), Dhaka (D) and Colombo (C).
(a)[4]

Use the cosine rule to find the distance $CD$.

(b)[3]

Use the sine rule to find the acute angle $KMC$.

(c)[2]

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

(d(i))[1]

Find the arrival time of the plane in Mumbai.

(d(ii))[2]

Calculate the average speed of the plane.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Cosine rule applied correctly.

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