document.write( "Question 1120548: Two Coast Guard stations, A and B, are on an east-west line and are 120 km apart. The bearing of a ship from station A is N 46o E, and the bearing of the same ship from station B is N 39o W.
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document.write( "How far is the ship from the east-west line connecting the two Coast Guard stations. \n" );
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Algebra.Com's Answer #736217 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Draw the figure with station B 120km left (west) of station A, and the ship (point C) south of segment AB. Draw the line CD indicating the (perpendicular) distance of the ship from the east-west line between the two stations. \n" ); document.write( "Let BC=x, so CA = 120-x. \n" ); document.write( "Let d be the length of CD (the distance we are looking for). \n" ); document.write( "Segment CD makes two right triangles BDC and ADC. In those triangles, \n" ); document.write( "tan(39) = x/d \n" ); document.write( "tan(46) = (120-x)/d \n" ); document.write( "Eliminate x between those two equations to find d. It should be easy if you see the right way to do it.... \n" ); document.write( " |