document.write( "Question 972065: A plane is heading north-west at 480km/h and is in contact with another plane which leaves the same airport at the same time and heads north-east at 400km/h. How far apart are the planes (to the nearest km) after 90 minutes? \n" ); document.write( "
Algebra.Com's Answer #594568 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A plane is heading north-west at 480km/h and is in contact with another plane which leaves the same airport at the same time and heads north-east at 400km/h. \n" ); document.write( " How far apart are the planes (to the nearest km) after 90 minutes? \n" ); document.write( ": \n" ); document.write( "Change 90 min to 1.5 hrs \n" ); document.write( "Find the distance each traveled in that time \n" ); document.write( "480 * 1.5 = 720 km \n" ); document.write( "400 * 1.5 = 600 km \n" ); document.write( "The angle between the paths of the two aircraft is 90 degrees, so we can use: \n" ); document.write( "a^2 + b^2 = c^2, where \n" ); document.write( "a = 720 \n" ); document.write( "b = 600 \n" ); document.write( "c = distance between the two aircraft after 90 min \n" ); document.write( "therefore: \n" ); document.write( "c = \n" ); document.write( "c = 937 km \n" ); document.write( " |