0580 P42 - Jun 2017 - Q8 - 11 marks
14567
ABCD is a rectangular base with AB=8 cm and BC=6 cm. AC and BD meet at M; P is vertically above M, PM=9 cm. N is the midpoint of BC.
(a) Calculate angle PNM. [2]
(b) Show BM=5 cm. [1]
(c) Calculate the angle between PB and base ABCD. [2]
(d) X is on PC with PX=7.5 cm. Calculate BX. [6]
