Full solution please. Answers can be found below :) The diagram below shows the cross-section ABCD of a gutter made using a sheet of metal25cm wide. The sheet of metal is bent such that AB and CD are both 5cm long and inclinedto BC at an angle 0 radians.A5 cm5 стуEh cm15(i)Show that the area of the cross-section of the gutter, S cm², is given byS = 25 sin 0(3+cos 0).Find the maximum possible cross-sectional area that can be constructed, showingclearly how you obtain the value.(ii) Water fills the gutter in such a way, that at timet seconds, the depth of water ish cm and EBCF represents the cross-section of the portion of the gutter filled withwater as shown in the diagram.Given that 0find an expression for the angle FBC in terms of h.4When the depth of water in the gutter is 1.5 cm, the water level is rising at a rate of 0.4cm s-l. Find the rate at which angle FBC is increasing at this instant.[(i) 78.7 cm?h; 0.0219 rads](ii) ZFBC = tan-115+h

Name: Full solution please. Answers can be found below :) The diagram below
Uploaded: 2024-03-20T07:07:26.000Z
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Description: Full solution please. Answers can be found below :) The diagram below shows the cross-section ABCD of a gutter made using a sheet of metal25cm wide. The sheet of metal is bent such that AB and CD are both 5cm long and inclinedto BC at an angle 0 radi