document.write( "Question 1155542: A helicopter is stationed at an airport H on a bearing 060 degrees and 800km from another airport P. A third airport is J is on bearing of 140 degrees and 1,200km from H. Determine: i) the distance of P from J ii) The bearing of P from J \n" ); document.write( "
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A helicopter is stationed at an airport H on a bearing 060 degrees and 800km from another airport P. A third airport is J is on bearing of 140 degrees and 1,200km from H.
\n" ); document.write( "Determine: i) the distance of P from J ii) The bearing of P from J
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\n" ); document.write( "It's a triangle with 2 sides and the included angle given.
\n" ); document.write( "Angle H, or PHJ = 100 degs
\n" ); document.write( "Side h = PJ
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\n" ); document.write( "Use the Cosine Law to find side PJ
\n" ); document.write( "h^2 = 800^2 + 1200^2 - 2*800*1200*cos(100)
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\n" ); document.write( "ii) The bearing of P from J
\n" ); document.write( "Use the Law of Sines to find angle JPH
\n" ); document.write( "Add 60 degrees to angle JPH for the bearing.\r
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