Priya starts from point A and drives 9 km towards North. She then takes a right turn, drives 4 km to reach point B. She then turns right, drives 10 km and stops at point C. In which direction is point C with respect to point A?
Correct Answer :
South-east
Solution :
The correct answer is South-east.
Let us break down Priya's journey step-by-step to find the relative position of point C with respect to point A:
1. Starting Point: Priya starts at point A.
2. First leg (North): She drives 9 km towards the North. Let us call this temporary position point D. Point D is 9 km North of A.
3. Second leg (Right turn to B): From point D, she turns right (facing East) and drives 4 km to reach point B. Thus, point B is 9 km North and 4 km East of point A.
4. Third leg (Right turn to C): From point B, she turns right again (facing South) and drives 10 km to stop at point C.
Now, let us calculate the final position of point C relative to point A:
- East-West (Horizontal) displacement: Point C remains 4 km to the East of point A.
- North-South (Vertical) displacement: Priya went 9 km North and then 10 km South. The net displacement is 10 km - 9 km = 1 km to the South of point A.
Since point C is 1 km South and 4 km East of point A, point C is in the South-east direction with respect to point A.
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