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

Pythagoras' theorem and trigonometry in 3D — practice question

(a(i))[4]

Calculate the angle $QPR$.

(a(ii))[3]

Find the minimum distance from $Q$ to $PR$.

(b(i))[3]

Calculate the length $AG$.

(b(ii))[3]

Calculate the angle that $AG$ makes with the base $ABCD$.

(c)[5]

Find the bearing of ship $M$ from the lighthouse, $L$, and the distance between them.

Worked solution & mark scheme

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