(a)[2]
Calculate the angle $PNM$.
(b)[1]
Show that, using the given dimensions, $BM = 5$ cm.
(c)[2]
Calculate the angle formed by edge $PB$ and the base $ABCD$.
(d)[6]
Calculate $BX$.
Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
The diagram depicts a pyramid standing on rectangular base $ABCD$. $AC$ and $BD$ meet at $M$, and $P$ is vertically above $M$. $AB = 8$ cm, $BC = 6$ cm and $PM = 9$ cm.