Orville walks 270 m due east. He then continues walking along a straight line, but in a different direction, and stops 230 m northeast of his starting point. How far did he walk during the second portion of the trip and in what direction?

Question

Please I need a good explanation for this, so there looking for magnitude and direction and I just cant seem to figure it out

Answer 1

The final distance from home is the hypotenuse (230m) of a right triangle with legs 162.63m. Thus, he ends up at point (162.63,162.63).

So, the final leg of his trip is the vector from (270,0) to (162.63,162.63). That is, (-107.37,162.63), which is 194.87m in the direction 123.45 degrees (33.45 deg west of north)