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Calculate the angle made by $AP$ with the rectangular base $ABCD$.
Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
A triangular prism is drawn in the diagram. $AB = 12\text{ cm}$, $BC = 6\text{ cm}$, $PC = 4\text{ cm}$, angle $BCP = 90^\circ$ and angle $ODC = 90^\circ$. Its rectangular base is $ABCD$. This sketch is not drawn to scale. The labelled points are $A, B, C, D, O, P,$ and $Q$, and the lengths $12\text{ cm}$, $6\text{ cm}$ and $4\text{ cm}$ are shown.