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0580 P42 - Nov 2013 - Q2 - 11 marks
15984
Ramp crosssectionABCD AB6.46 AD8.6 BC2.4 CD1.8 rightangleC

The ramp cross-section ABCD has AB = 6.46 m, AD = 8.6 m, BC = 2.4 m, CD = 1.8 m, and BCD = 90°.

(a) Calculate DBC. [2]

(b(i)) Show BD is exactly 3 m. [2]

(b(ii)) Use the cosine rule to calculate ABD. [4]

(c) The ramp is a prism of width 4 m. Find its volume. [3]

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