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( "
Algebra.Com's Answer #778259 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "========================== \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 \n" ); document.write( "===================== \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) \n" ); document.write( "------------------ \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |