Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

(a(i))[1]

Show that angle $CBD = 81^\circ$.

(a(ii))[3]

Calculate $CD$ from the information given.

(a(iii))[4]

Show that angle $ABD = 31.6^\circ$, correct to 1 decimal place, from the information provided.

(a(iv))[3]

Find the shortest distance from $A$ to $BD$.

(a(v))[2]

Find the bearing of $B$ as seen from $C$.

(a(vi))[4]

Calculate the total number of trees to be planted in the field.

(b)[3]

Calculate the upper bound for the rectangle's width.

Worked solution & mark scheme

This 20-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore $180-60-39=81$.

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