Rasik walked 20 m towards north. Then he turned right and walks 30 m. ...
Rasik's movements can be traced as follows:
1. Rasik walks 20 m towards north: This means that Rasik moves in the direction directly opposite to the gravitational force, also known as "up" on a map.
2. Rasik turns right and walks 30 m: After turning right, Rasik is facing east and walks 30 m in that direction.
3. Rasik turns right again and walks 35 m: Following the previous movement, Rasik is now facing south and walks 35 m in that direction.
4. Rasik turns left and walks 15 m: After turning left, Rasik is facing east again and walks 15 m in that direction.
5. Rasik turns left once more and walks 15 m: Following the previous movement, Rasik is now facing north and walks 15 m in that direction.
To determine Rasik's final position, we can calculate the net displacement in the north-south and east-west directions.
Net displacement in the north-south direction:
Rasik initially moves 20 m towards the north and then walks 15 m towards the north, resulting in a net displacement of 20 m + 15 m = 35 m towards the north.
Net displacement in the east-west direction:
Rasik walks 30 m towards the east, then turns left and walks 15 m towards the west. The net displacement in the east-west direction is 30 m - 15 m = 15 m towards the east.
Therefore, Rasik's final position is 35 m towards the north and 15 m towards the east from the starting position. This can be represented as a vector with magnitude and direction, where the magnitude is the distance and the direction is the angle measured from the north direction. In this case, the magnitude is √(35^2 + 15^2) = √(1225 + 225) = √1450 ≈ 38.08 m and the direction is arctan(15/35) ≈ 22.62 degrees east of north.
To summarize, Rasik is approximately 38.08 m away from the starting position in the direction that is 22.62 degrees east of north. Therefore, the correct answer is option D: 45 m east.