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The figure below shows a shape of a roof with a horizontal rectangular base ABCD. The ridge EF is also horizontal. The measurements of the roof are
AB=8m, BC=5m,EF=4.5m and EA=ED=FC=3.5m.
Calculate:
(a) The height of the ridge EF above the base ABCD
(b) The angle between the face AED and the base ABCD.