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The figure ABCDEF below represents a roof of a house. AB = DC = 12m, BC = AD = 6m, AE = BF = CF = DE = 5m and EF=8m.
Calculate, correct to 2 decimal places, the perpendicular distance of EF from the plane ABCD.
Calculate the angle between:
(i) The planes ADE and ABCD
(ii) The line AE and the plane ABCD, correct to 1 decimal place
(iii) the planes ABF E and DCFE, correct to l decimal place.