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 e, as shown in the figure. How should e be chosen (in radians) so that the gutter will carry the maximum amount of water? E 10 cm 10 cm →- 10 cm → radians Need Help? Read It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 2E
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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 0, as shown in the figure. How should 0 be
chosen (in radians) so that the gutter will carry the maximum amount of water?
+ 10 cm → 10 cm →- 10 cm
radians
Need Help?
Read It
Transcribed Image Text: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 0, as shown in the figure. How should 0 be chosen (in radians) so that the gutter will carry the maximum amount of water? + 10 cm → 10 cm →- 10 cm radians Need Help? Read It
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