Answer:
6.4km
Explanation:
First we must know that the direction along the vertical are towards North and south while along the horizontal are towards east and west.
Sum of distances along the vertical
4km due north = +4km
3 Km South = -3km (south is along the negative y direction)
6 Km South = -6km
total distance along the vertical = 4-3-6 = -5km
Sum of distances along the horizontal;
8km due East = +8km
4 Km west = -4m (west is along the negative x direction)
total distance along the horizontal = 8-4 = 4km
Displacement is gotten by using Pythagoras theorem
d² = x²+y²
d² = (4)²+(-5)²
d² = 16+25
d² = 41
d = √41
d = 6.4km
Hence Tyler's displacement is 6.4km
