The diagram below shows the cross-section ABCD of a gutter made using a sheet of metal 25cm wide. The sheet of metal is bent such that AB and CD are both 5cm long and inclined to BC at an angle 0 radians. 5 сm 5 сту E F h cm 15 (i) Show that the area of the cross-section of the gutter, S cm, is given by S = 25 sin 0 (3+cos 0). Find the maximum possible cross-sectional area that can be constructed, showing clearly how you obtain the value.

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