7 From an aircraft \(A\), a helicopter \(H\) is observed 20 km away on a bearing of \(120 ^ { \circ }\). The helicopter \(H\) is travelling horizontally with a constant speed \(240 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) on a bearing of \(340 ^ { \circ }\). The aircraft \(A\) is travelling with constant speed \(v _ { A } \mathrm {~km} \mathrm {~h} ^ { - 1 }\) in a straight line and at the same altitude as \(H\).
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1. Given that \(v _ { A } = 200\) :
   1. find a bearing, to one decimal place, on which \(A\) could travel in order to intercept \(H\);
   2. find the time, in minutes, that it would take \(A\) to intercept \(H\) on this bearing.
2. Given that \(v _ { A } = 150\), find the bearing on which \(A\) should travel in order to approach \(H\) as closely as possible. Give your answer to one decimal place.
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