document.write( "Question 308021: starting from point A on a flat play ground, a child walks 10 yards due north , then 6 yards due east , and then 2 yards due south, arriving at point B. How far apart, in yards, are points A and B \n" ); document.write( "
Algebra.Com's Answer #220286 by checkley77(12844) ![]() You can put this solution on YOUR website! If you draw a diagram of the problem you'll get the following: \n" ); document.write( "From the starting point go 10 units up (NORTH) \n" ); document.write( "Then go 6 units to the right (EAST). \n" ); document.write( "Now go 2 units down (SOUTH) \n" ); document.write( "You are now 8=(10-2) units UP & 6 units RIGHT of the starting point. \n" ); document.write( "Now draw a line from the starting point to the end point. \n" ); document.write( "You now have a triangle that is a right triangle with length=6 & height=8. \n" ); document.write( "Now find the hypotenuse using the formula a^2+b^2=c^2. \n" ); document.write( "You are now 8 yards north & 6 yards east of the starting point. \n" ); document.write( "6^2+8^2=c^2 \n" ); document.write( "36+64=c^2 \n" ); document.write( "100=c^2 \n" ); document.write( "c=sqrt100 \n" ); document.write( "c=10 miles between the starting point & the end point. \n" ); document.write( " |