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Four ships A,B,C and D are at sea in the...

Four ships A,B,C and D are at sea in the following relative positions: B is on the straight line segment AC, B is due north of D and D is due west of C. The distance B and D is 2km. `angleBDA = 40^(@), angleBCD = 25^(@)`. What is the distance between A and D. (`sin 25^(@) = 0.423`).

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