Finding area of triangles inscribed within themselves using trigonometry.

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Problem is attached below. I am looking for a step by step walk though and answer, however it can be pretty brief and there is no need to go into too much detail.

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30 y 20 х ool D-u u D- Goal: To derive a 4th degree polynomial, where y(x)=0 can be solved graphically with a domain appropriate to the diagram above. Show that the distance x in the figure is a solution of your polynomial equation and finally find the value of D. similar triangles
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