A man lost in a maze makes three consecutive displacements so that at the end of his travel he is right back w

Question

where he started. The first displacement is 8.00 m westward, and the second is 12.0 m northward. Use the graphical method to find the magnitude and direction of the third displacement. the magnitude is 14.422m and I can't find the angle.....the angle is (clockwise from due north)

Answer 1

Draw it. His path is a right triangle with base=8, height=12 and hypotenuse=14.422. The angle at the top of the triangle = angle of hypotenuse CCW from N = arctan(8/12).