document.write( "Question 720052: A bird is flying at 22 miles per hour at a bearing of N18 degrees W. After flying for 1/2 hour, it lands on a tree to rest. When it takes off again it flies at 18 mph at a bearing of S72 degrees W for 20 minutes and then lands a telephone pole. Find the bearing and distance to the original point of departure. \n" ); document.write( "
Algebra.Com's Answer #441651 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A bird is flying at 22 miles per hour at a bearing of N18 degrees W. After flying for 1/2 hour, it lands on a tree to rest. When it takes off again it flies at 18 mph at a bearing of S72 degrees W for 20 minutes and then lands a telephone pole. Find the bearing and distance to the original point of departure. \n" ); document.write( "*** \n" ); document.write( "let me try to draw a diagram we can work with: \n" ); document.write( "From point O, draw a 11mi line N18ºW to point A. \n" ); document.write( "From point A, draw a 6mi line S72ºW to point B. \n" ); document.write( "From point B, draw a line back to point O. \n" ); document.write( "By my calculations, OAB turns out to be a right triangle. \n" ); document.write( "Bearing of B from O the original point of departure is N72ºW \n" ); document.write( "Distance from B to the original point O=11cos54º=6.45mi \n" ); document.write( " \n" ); document.write( " |