Suppose a Trough with Trapezoidal Cross Sections Is Formed by Turning

question 102

Multiple Choice

Suppose a trough with trapezoidal cross sections is formed by turning up the edges of a 30-inch-wide sheet of aluminum (see figure) . Find the cross section of maximum area.

• A) \(x = 12 ; \theta = 45 ^ { \circ }\)
• B) \(x = 20 ; \theta = 55 ^ { \circ }\)
• C) \(x = 10 ; \theta = 45 ^ { \circ }\)
• D) \(x = 10 ; \theta = 60 ^ { \circ }\)
• E) \(x = 20 ; \theta = 60 ^ { \circ }\)

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