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Calculate the angle that edge $EC$ makes with the base, $ABCD$, of the pyramid.
Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The figure represents a square-based pyramid $ABCDE$. The square’s diagonals intersect at $M$. $E$ is directly above $M$ on a vertical line. $AB = BC = 12\ \text{cm}$ and $EM = 9\ \text{cm}$. The figure is not drawn to scale.