Question

A person travels 10 km towards south. He then turns left and travels 2 km and then turns right and travels 4 km and finally travels 2 km towards the east. What is his position (in horizontal and vertical directions) with reference to the starting point?

Answer 1

Answer:

Step-by-step explanation:

Horizontal distance from starting point=2+2=4km.

Vertical distance=10+4=14km

Answer 2

Given are the directions in which a person travels, Find its final position with respect to the starting point.

Explanation:

• Let's consider the person is traveling in the XY- coordinate system.  
• For the first movement in the south direction the coordinate of the person moves in the negative y-direction.
• Each movement after that is with respect to the current position of the person.
• Now the starting point of the person is the origin 'O' having coordinates $p(0,0)$.  
• After moving $10\ km$ in south , $p(0,-10)$  
• After moving $2\ km$ in left from there, $p(2,-10)$  
• After moving $4\ km$ in right from there, $p(2,-14)$
• After moving $2\ km$ in east from there, $p(0,-14)$
• Hence the final position of the person is $14\ km$ in the vertically downwards (south) direction.