CEMC Euclid, 2007

Geometry Difficulty 2.0 Junior Prove it Canada

In the diagram, points $A$ and $B$ are located on islands in a river full of rabid aquatic goats. Determine the distance from $A$ to $B$ , to the nearest metre. (Luckily, someone has measured the angles shown in the diagram as well as the distances $CD$ and $DE$ .)

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