To determine the hiker's location with respect to his starting position, we can use the positioning given in terms of cardinal directions.
The hiker first walks 2 km south, which means he moves 2 km in the opposite direction of north. This brings him 2 km to the south of his starting position.
He then turns west and walks for 4 km. This means he moves 4 km in the opposite direction of east. Since he was initially south of his starting position and moves to the west, the hiker is now 4 km west and 2 km south of his starting position.
Next, the hiker turns north and walks for 5 km. This means he moves 5 km in the opposite direction of south. Since he was initially 4 km west and 2 km south of his starting position and now moves north, the hiker is now 4 km west and 3 km north of his starting position.
Finally, the hiker turns right, which means he turns towards the east, and walks for 4 km. This means he moves 4 km in the east direction. Since he was initially 4 km west and 3 km north of his starting position and now moves east, the hiker is now at the same latitude (3 km north) and 1 km east of his starting position.
Therefore, the hiker is 1 km east and 3 km north of his starting position.
7. A hiker walks 2 km south, then turns west and walks for 4 km, then he turns north and walks
for 5 km, then he turns to his right and walks for 4 km. where is he now with respect to his
starting position?
1 answer