Asked Nov 22, 2019

Optimization with angles.

A drainage canal is constructed so its cross section is
shaped like a trapezoid with equally sloping sides. If the bottom and sides each have length 5 feet, what angle θ would yield the greatest cross-sectional area?


Expert Answer

Step 1

Consider the following diagram which indicates given information:


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P 5 A 5

Step 2

Now determine the value of angle for whic...


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AB AD BC 5 Let DE CF = x AD BF h sine 5 x= 5 sin h cos 5 h=5cos CD 5+2x CD 5+10sin


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