Three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain.
The angle measures are: 30, 45, and 60

Question

Three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain. 
The angle measures are: 30, 45, and 60

directrix · Answer

Diagram courtesy of: http://tinyurl.com/kj9edpc

anonymous · Answer

How did you get just the diagram?

directrix · Answer

From the URL above. Click on it.

anonymous · Answer

the height cannot remain the same if the base length remains the same but the base angle differs. a bit of analyzing the diagram.

anonymous · Answer

So, with that in mind would the trapezoid with the biggest area be the third one?

anonymous · Answer

what is it in the question? does b1 remain same?

anonymous · Answer

The three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain. 
So I am assuming that both bases stay the same.

anonymous · Answer

okay.
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now substitute h=(b2-b1)tan theta and get the answer.