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

Pythagoras' theorem and trigonometry in 3D — practice question

The diagram depicts a cuboid with dimensions AB = 12 cm, BC = 5 cm and height = 4 cm. PB is a diagonal drawn inside the cuboid. A, B, C and D are the vertices of the base ABCD. The diagram is marked "NOT TO SCALE".
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Calculate the angle between diagonal PB and base ABCD.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Working: $\tan=\dfrac{4}{\sqrt{12^2+5^2}}$” …

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