Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram presents triangle ABC as a triangular field. AB = 65 m, AC = 75 m and angle CAB = $125^\circ$.
(a)[3]

Show that $BC = 124.3$ m, accurate to 1 decimal place.

(b)[3]

Calculate the value of angle ABC.

(c)[3]

Calculate the perpendicular distance from $A$ to $BC$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “This is $\sqrt{65^2+75^2-2\times65\times75\cos125}$.” …

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