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

Pythagoras' theorem and trigonometry in 3D — practice question

The figure is a pyramid with a square base $ABCD$, where each side measures 8 cm. The diagonals of the square, $AC$ and $BD$, meet at $M$. $V$ is vertically above $M$ and $VM = 10\text{ cm}$. The diagram is labelled NOT TO SCALE.
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Calculate the angle formed between $VA$ and the base.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Identifying the angle needed

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