document.write( "Question 1136407: A car leaves a gas station and travels at 30 miles per hour (mpg) due west. After 20 minutes, the car changes direction to N 30 W at 20 mph and travels in that direction for 15 minutes. Find the car's distance traveled and the bearing from the gas station. \n" ); document.write( "
Algebra.Com's Answer #754183 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Drawing this helps. \n" ); document.write( "Direction is left along the y-axis (bearing 270 degrees) and then at a 60 degree angle into quadrant II. That bearing is 330 degrees, \n" ); document.write( "The first distance is 10 miles (20 min at 30 mph) \n" ); document.write( "The second distance is 5 miles \n" ); document.write( "Along the y-axis, that distance is another 2.5 miles left and upward (5/2) sqrt (3) miles\r \n" ); document.write( "\n" ); document.write( "The car has traveled at total of 15 miles. ANSWER \n" ); document.write( "The horizontal leg is 12.5 miles, and the vertical leg is 4.33 miles. \n" ); document.write( "The car's straight line distance from the station is 13.23 miles \n" ); document.write( "The cosine of the angle from the horizontal (bearing 270) is 12.5/13.23=0.9449 \n" ); document.write( "That angle is 19.10 degrees, so the car is bearing 289.1 degrees or W 19.1 N or N 70.9 W ANSWER \n" ); document.write( " \n" ); document.write( " |