Final answer:
The initial displacement of the hiker who travels 150m westward is 150m west, so the answer is option (1) 150m.
Step-by-step explanation:
The initial displacement of the hiker who travels 150m westward is 150m west. Displacement is a vector quantity that refers to the change in position of an object and is directed from the starting point to the final position.
Since the hiker traveled westward without changing direction, the magnitude of the displacement is equal to the total distance traveled in that direction, which is 150 meters. The direction of this displacement is westward, making the answer option (1) 150m.