2 Fig. 2 shows a quadrilateral ABCD . The lengths AB and BC are 5 cm and 6 cm respectively. The angles \(\mathrm { ABC } , \mathrm { ACD }\) and DAC are \(60 ^ { \circ } , 60 ^ { \circ }\) and \(75 ^ { \circ }\) respectively.
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\caption{Fig. 2}
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Calculate the exact value of the length AD.