Question

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 90°, what is the area of the opening? @phi

Answer 1

21.8 in2
16.0 in2 <-- my answer
7.9 in2
1.0in2

Answer 2

sin 90 = 1
cos 90 = 0
so you have
16*1*(0+1)
which simplifies to 16

Answer 3

thank you!!!!!