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

Pythagoras' theorem and trigonometry in 3D — practice question

The prism ABCDQP has a length of 7 cm and is triangular. Its cross-section is triangle PAB, with PA = 4 cm, AB = 5 cm and angle PAB = 90^{\circ}.
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Calculate the angle that line PC makes 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: “Angle PCA correctly identified” …

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