(a)[3]
Show that $AC = 1028\text{ m}$, correct when rounded to the nearest metre.
(b)[4]
Calculate the value of angle $ACB$.
(c)[4]
Calculate the cost of 1 hectare of this section of the field. Give your answer correct to the nearest dollar.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
The diagram depicts a field $ABCD$. A straight route $AC$ cuts across the field. The given measurements are $AB = 1150\text{ m}$, $AD = 420\text{ m}$, $DC = 830\text{ m}$, angle $DAB = 106^\circ$ at $D$ and angle $ABC = 62^\circ$. The diagram is not drawn to scale.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\sqrt{420^2+830^2-2\times420\times830\cos106}$, which leads to $1028.3$” …
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