Mathematics

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14 June, 15:07

A rain gutter is to be constructed from a metal sheet of width 48 cm by bending up one-third of the sheet on each side through an angle θ.

Show that the cross-sectional area of the gutter is modeled by the function

A (θ) = 256 sin (θ) + 256 sin (θ) cos (θ).

For what angle θ is the largest cross-sectional area achieved?

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