Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

The figure depicts a flagpole, BD, supported by two ropes, AD and CD. ABC lies on a straight line, and angle ABD = $90^{\circ}$. $AD=21.2$ m, $AB=16.5$ m and angle BCD = $48^{\circ}$. The diagram is not drawn to scale.
(a)[3]

Show that the height of the flagpole BD is 13.3 m, correct to 1 decimal place.

(b)[3]

Calculate the length of the rope CD.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: $BD=\sqrt{21.2^2-16.5^2}$

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