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

Pythagoras' theorem and trigonometry in 3D — practice question

A cuboid $ABCDEFGH$ is drawn in the diagram. $AB = 14$ cm, $BC = 5$ cm and $CG = 8$ cm. $M$ lies at the midpoint of $HG$. The diagram is NOT TO SCALE.

(a)[3]

Calculate the length of $BM$.

(b)[3]

Calculate the angle made by $BM$ with the base $ABCD$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Pythagoras set-up is correct” …

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