Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D — practice question

The figure depicts a pyramid $ABCDE$. It has a square base $ABCD$ lying horizontally, with each side measuring 5 cm. The point $E$ is directly above the centre $O$ of the base. The pyramid’s perpendicular height $OE$ is 9 cm. The diagram is not drawn to scale.

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Calculate the angle made by $EC$ with the base $ABCD$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct Pythagoras/trig setup” …

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