document.write( "Question 51392: I am having problems solving this problem:
\n" ); document.write( "Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
\n" ); document.write( "Thanks for your time! \n" ); document.write( "

Algebra.Com's Answer #34331 by rchill(405) $\"\"$ $\"About$

You can put this solution on YOUR website!
Because you are traveling north and then due east, if you were to draw a line from your starting point to the point where you end up after the turn eastward, you will have a right triangle. Because the hypoteneuse of the right triangle is what you are looking for, the equation becomes $\"+a%5E2+%2B+b%5E2+=+c%5E2+\"$ , where a and b are the sides forming the right triangle (in this case, north and east) and c is the hypoteneuse. Substituting the values of 35 and 65 into a and b, respectively, yields the formual $\"+35%5E2+%2B+65%5E2+=+c%5E2+\"$ . That produces $\"+1225+%2B+4225+=+c%5E2+\"$ , which simplifies to $\"+5450+=+c%5E2+\"$ . Taking the square root of both sides produces $\"+73.824+=+c+\"$ . Therefore, from the starting point to the current point is 73.824 kilometers. \n" ); document.write( "

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