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Revision exercise on three dimensional geometry

Answer Text:
Revision exercise on three dimensional geometry.
The diagram below represents a cuboid ABCDEFGH in which FG= 4.5 cm, GH = 8 cm and HC = 6 cm

Calculate:
(a) The length of FC
(b) (i) The size of the angle between the lines FC and FH
(ii) The size of the angle between the lines AB and FH
(c) The size of the angle between the planes ABHE and the plane FGHE