Find the cross-sectional area of a gutter

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Homework Help Overview

The problem involves determining the cross-sectional area of a rain gutter constructed from a metal sheet by bending its sides. The function modeling the area is provided, and participants are exploring the meaning of cross-sectional area in this context.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the definition of cross-sectional area and its implications for the gutter's design. There are inquiries about specific terminology like "csa" and clarifications regarding the dimensions of the cross-section based on the bending of the metal sheet.

Discussion Status

The discussion is active, with participants seeking clarification on terminology and the concept of cross-sectional area. Some guidance has been provided regarding the interpretation of the gutter's dimensions, but no consensus has been reached on the overall understanding of the problem.

Contextual Notes

Participants are working with the assumption that the gutter is formed by bending a metal sheet, and there is a focus on the geometric implications of this construction. The specific angle of bending and its effect on the area is also under consideration.

LordofDirT
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"A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle (theta)

Show that the cross-sectional area of the gutter is modeled by the function A(theta)=100sin(theta)+100sin(theta)cos(theta)"

My Question:

what is meant by cross-sectional?
 
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It's simply the area if cut across it.
So if you bent up the two sides by 90deg it would be a a square 10cm wide by 10cm high = csa of 100cm^2
 
what does "csa" mean?
 
Cross Sectional Area
 
...Are the cross-sections where I bend the metal frame, so that each of my cross-sections will have a width of 10cm.?

EDIT: nm, your previous post clarified.
 

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