anonymous
  • anonymous
Will fan and medal 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 = 30°, what is the area of the opening? 14.9in^2 16.0in^2 19.3in^2 20.8in^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@jim_thompson5910 can you help? Or do you know anyone who can help?
jim_thompson5910
  • jim_thompson5910
\[\Large A(\theta) = 16*\sin(\theta)*(\cos(\theta) + 1)\] \[\Large A(30^{\circ}) = 16*\sin(30^{\circ})*(\cos(30^{\circ}) + 1)\] \[\Large A(30^{\circ}) = 16*\frac{1}{2}*(\frac{\sqrt{3}}{2} + 1)\] \[\Large A(30^{\circ}) \approx 16*0.5*(0.866025 + 1)\] \[\Large A(30^{\circ}) \approx ???\]
jim_thompson5910
  • jim_thompson5910
In step 3, I used the unit circle http://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/1024px-Unit_circle_angles_color.svg.png

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anonymous
  • anonymous
So the answer would be A?
jim_thompson5910
  • jim_thompson5910
yeah I'm getting 14.9282 which rounds to 14.9
anonymous
  • anonymous
That's what I got :) Thank you so much

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