Calculating Paritosh's Final Position
We can track Paritosh's movement using coordinates, assuming Point A is at the origin (0, 0).
- Starts at A: (0, 0)
- Drives 22 km South: Position becomes (0, -22)
- Turns right (now facing West), drives 12 km: Position becomes (-12, -22)
- Turns right (now facing North), drives 26 km: Position becomes (-12, -22 + 26) = (-12, 4)
- Turns right (now facing East), drives 23 km: Position becomes (-12 + 23, 4) = (11, 4)
- Turns right (now facing South), drives 4 km: Position becomes (11, 4 - 4) = (11, 0)
Paritosh stops at Point P, which is located at coordinates (11, 0).
Finding Distance and Direction to Point A
Point A is at (0, 0) and Point P is at (11, 0).
- The difference in the x-coordinates is \(11 - 0 = 11\).
- The difference in the y-coordinates is \(0 - 0 = 0\).
The shortest distance between P and A is the difference along the x-axis, which is 11 km.
Since Point P (11, 0) is to the east of Point A (0, 0) on the coordinate plane, Paritosh must drive West to return to Point A.
Therefore, Paritosh needs to drive 11 km to the west to reach Point A again.
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Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
