(a)[3]
Calculate $AC$.
(b)[3]
Calculate the angle between $AC$ and the base $ABPQ$.
Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The diagram depicts a triangular prism. Angle $BPC = 90^{\circ}$. The base $AB$ measures 12 cm. The lengths $BC = 5$ cm and $CP = 4$ cm are indicated. The points $A, B, C, D, P, Q$ are labelled. The diagram is marked NOT TO SCALE.