Final answer:
To find the pedestrian's resultant displacement and geographic direction, use a graphical method by creating a scale diagram and adding the two displacements as vectors. Therefore, the correct options is b).
Step-by-step explanation:
To find the pedestrian's resultant displacement and geographic direction, we can use a graphical method. We will create a scale diagram and add the two displacements as vectors. First, draw a line representing the 6.0 km eastward walk. Then, draw another line from the end of the first line, representing the 13.0 km northward walk.
The resultant displacement is the vector that connects the starting point to the endpoint of the second line. We can measure the length and direction of this vector using a ruler and protractor. In this case, the resultant displacement is approximately 15.1 km and the geographic direction is 61.5° north of east.