In the diagram, ABED is a trapezium with right angles at E and D, and CED is

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In the diagram, ABED is a trapezium with right angles at E and D, and CED is a straight line. The lengths of AB and BC are (2√3)d and 2d respectively, and angles BAD and CBE are 60° and 30° respectively.

a. Find the length of CD in terms of d.

b. Show that angle CAD = tan–1 (2/√3).

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