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0580 P42 - Nov 2011 - Q8 - 13 marks
16456
CanvasquadrilateralABCD AB3 AC5 BAC45

Canvas ABCD has AB = 3 m, AC = 5 m and BAC = 45°.

(a)(i) Show that BC rounds to 3.58 m, with full working. [4]

(a)(ii) Find BCA. [3]

AC = CD and CDA = 52°.

(b)(i) Find DCA. [1]

(b)(ii) Find the canvas area. [3]

Canvas heldbypolesAP DQ height2 AB3

A and D are attached to vertical poles AP and DQ, each 2 m high; B and C are on horizontal ground. AB is straight, and BPA = 90°.

(c) Find PAB. [2]

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