Question 51392
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^2 + b^2 = c^2 }}} , 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 {{{ 35^2 + 65^2 = c^2 }}}.  That produces {{{ 1225 + 4225 = c^2 }}}, which simplifies to {{{ 5450 = c^2 }}}.  Taking the square root of both sides produces {{{ 73.824 = c }}}.  Therefore, from the starting point to the current point is 73.824 kilometers.