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A helicopter is stationed at an airport H on a bearing #060^0# and 800 km from another airport P.
A third airport J is on a bearing of #140^0# and 1,200 km from H.
a) Determine
i) The distance between P and J.
ii) The bearing of P from J.
b) A jet flying at a speed of 1035 km/h left J towards P. The helicopter at H also took off towards P at the same time. Find the speed at which the helicopter will fly so as to arrive at P, 12
minutes later than the Jet.