The cross section of a rain gutter is shown below. It is made of a steel sheet that is bent at two locations. Assign the area of the cross-section of this rain gutter to the variable Amax. a) With L= 10cm, what is the angle e that maximizes the water content that can the carried by the rain gutter? (In other words, what is the angle e that maximizes the blue area in the image?) b) Repeat part (a) for L=23, L=39 and L=45.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 34E: A tangent ET is constructed to circle Q from external point E. Which angle and which side of...
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The cross section of a rain gutter is shown below. It is made of a steel sheet that is bent at two
locations. Assign the area of the cross-section of this rain gutter to the variable Amax.
a) With L= 10cm, what is the angle e that maximizes the water content that can the carried
by the rain gutter? (In other words, what is the angle e that maximizes the blue area in
the image?)
b) Repeat part (a) for L=23, L=39 and L=45.
Transcribed Image Text:The cross section of a rain gutter is shown below. It is made of a steel sheet that is bent at two locations. Assign the area of the cross-section of this rain gutter to the variable Amax. a) With L= 10cm, what is the angle e that maximizes the water content that can the carried by the rain gutter? (In other words, what is the angle e that maximizes the blue area in the image?) b) Repeat part (a) for L=23, L=39 and L=45.
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