Tracking Sharad's Movement
We can determine the final position relative to Point A by tracking the movements step-by-step. Let Point A be the origin (0, 0) in a coordinate system.
- Starts at A: (0, 0)
- Drives 47 km South: Position is (0, -47)
- Turns right (facing West), drives 49 km: Position becomes ($0 - 49$, -47) = (-49, -47)
- Turns right (facing North), drives 51 km: Position becomes (-49, $-47 + 51$) = (-49, 4)
- Turns right (facing East), drives 53 km: Position becomes ($-49 + 53$, 4) = (4, 4)
- Turns right (facing South), drives 4 km: Position becomes (4, $4 - 4$) = (4, 0). This is Point P.
Calculating the Return Path to Point A
Point P is located at coordinates (4, 0). Point A is at the origin (0, 0).
To travel from Point P (4, 0) back to Point A (0, 0):
- The displacement required is ($0 - 4$, $0 - 0$) = (-4, 0).
This displacement of (-4, 0) means moving 4 km in the negative x-direction. The negative x-direction corresponds to West.
Therefore, the shortest distance and direction to reach Point A again is 4 km to the West.
Important Questions from Direction and Distance Stops
Six houses, A, B, C, D, E and F, are situated in a colony. D is 60 m south of E. F is 40 m south of B. A is 30 m north of E. F is 50 m east of A. C is 50 m west of B. Find the location of C with reference to A.
One morning, Chitrashi and Ayaan sit facing each other. If the shadow of Ayaan falls to the left of Chitrashi, then in which direction is Ayaan facing?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
What should come in place of the question mark (?) in the given series?
28 39 53 70 90 ?Pranay starts from Point A and drives 8 km towards east. He then takes a right turn, drives 11 km, turns right and drives 12 km. He then takes a right turn and drives 13 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
