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Four ships are at sea such that ship B is 520 km on a hearing of 210° from ship A. Ship C is due north of ship B and due west of ship A. The fourth ship D is 100 km on a bearing of 340° from ship A and 240 km a bearing of 070° from ship C.
a) Draw a rough sketch showing the positions of ships A, B, C and D.
b) Use your sketch to find the size of
i. angle ADC.
ii. angle ACB.
c) Calculate to the nearest whole number
i. the distance of C from A
ii. the distance of B from C
iii. the bearing of A from B