Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

ABCDE forms a pentagon.
(a(i))[2]

Calculate $AD$ and demonstrate that it rounds to $94.5\,\text{m}$, correct to 1 decimal place.

(a(ii))[3]

Calculate the angle $BAC$.

(a(iii))[4]

Calculate the biggest angle in triangle $CAD$.

(b)[3]

Calculate the perpendicular distance from $R$ to line $PQ$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\tan64=\frac{AD}{46.1}$, which is the ratio to use.

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