Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

(a)[4]

Calculate the angle $ACD$.

(b)[3]

Show that $BC$ is $7.05$ km, correct to $2$ decimal places.

(c)[3]

Calculate the minimum distance from $B$ to $AC$.

(d)[4]

Calculate the length of the straight line $BD$.

(e)[2]

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

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the cosine rule in the form cos = (14^2 + 12^2 - 9^2) / (2 \times 14 \times 12)

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