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

Pythagoras' theorem and trigonometry in 3D — practice question

The diagram depicts a pyramid $VABCD$ with a rectangular base. $V$ is directly above $M$, where the diagonals $AC$ and $BD$ intersect. $AB = 12\,\text{cm}$, $BC = 10\,\text{cm}$ and $VC = 14\,\text{cm}$.
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Calculate the angle made by $VC$ 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: Accurate use of the cosine rule leading to the answer.

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