Hello, ihmth!

1) A trapezoid gutter is to be made from a strip of metal 22 in. wide, by bending up the edges.

If the base is 14 in. wide, what width across the top gives the greatest carrying capacity?

(use trig function)Code:F E A * - - * - - - - - - - * - - * D \ : : / \ : : / 4 \ : h: / 4 \ : :θ/ \: :/ *---------------* B 14 C

The isosceles trapezoid is , where , and

Let

Area Formula: .

In right triangle

So we have: .

Then: .

. . andis the function to be maximized . . .that