document.write( "Question 1173878: A swimmer aims his body North directly across a 80 m river at a velocity of 1.2 m/s. If the river is moving West at 0.7 m/s, (a) how far downstream will he land and (b) how long will it take him to cross the river? \n" ); document.write( "
Algebra.Com's Answer #799436 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A swimmer aims his body North directly across a 80 m river at a velocity of 1.2 m/s. If the river is moving West at 0.7 m/s, (a) how far downstream will he land and (b) how long will it take him to cross the river? \n" ); document.write( "----------------------- \n" ); document.write( "Assuming \"aims his body north\" means he swims facing North: \n" ); document.write( "======================== \n" ); document.write( "If the river is moving West at 0.7 m/s \n" ); document.write( "--------- \n" ); document.write( "Currents and wind are given as the direction they're from. \n" ); document.write( "----- \n" ); document.write( "It's a vector problem with a right triangle. \n" ); document.write( "His speed is the hypotenuse with sides of 1.2 and 0.7 \n" ); document.write( "c^2 = 1.2^2 + 0.7^2 \n" ); document.write( "====================== \n" ); document.write( "Time to cross = 80/c = t \n" ); document.write( "----------------- \n" ); document.write( "Distance downstream = 0.7*t \n" ); document.write( " |