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

Pythagoras' theorem and trigonometry in 3D — practice question

A cuboid is illustrated with side lengths $5.5\text{ cm}$, $8\text{ cm}$ and $16.2\text{ cm}$. Line $AB$ is drawn on the cuboid, and the figure is labelled NOT TO SCALE.
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Calculate the angle formed by the line $AB$ and the horizontal base of the cuboid.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $\tan \theta = \frac{8}{\sqrt{16.2^{2} + 5.5^{2}}}$ to proceed.

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