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 Form 4 Mathematics: Three dimensional geometry questions and answers

The figure below represents a cuboid ABCDEFGH in which AB = 16 cm, BC = 12 cm and CF = 6 cm.
figgeometry20720201522.JPG
(a) Name the projection of the line BE on the plane ABCD.
Calculate correct to 1 decimal place:
(i) The size of the angle between AD and BF
(ii) The angle between line BE and the plane ABCD
(iii) The angle between planes HBCE and BCFG.
(c) Point N is the midpoint of EF. Calculate the length BN, correct to 1 decimal place.

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