Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Sunil drives 8 km towards East, then turns right and drives 3 km. He then turns left and drives 5 km, then turns left again and drives 8 km. How far and in which direction is he from the starting point?
13 km, North-East
12 km, East
13 km, East
15 km, North-East
13 km, North-East
Track horizontal and vertical displacement separately on a Cartesian plane (X, Y): East/West affect X, North/South affect Y, then use the Pythagorean theorem for distance.
Track horizontal and vertical displacement separately on a Cartesian plane (X, Y): East/West affect X, North/South affect Y, then use the Pythagorean theorem for distance.
Tracking Net Displacement
Starting at (0,0): 1. Move East 8km (X: 8, Y: 0). 2. Turn right (South) for 3km (X: 8, Y: -3). 3. Turn left (East) for 5km (X: 13, Y: -3). 4. Turn left (North) for 8km (X: 13, Y: 5).
Applying Pythagoras Theorem
Final position is (13, 5). Distance from (0,0) is square root of (13 squared + 5 squared) = square root of (169 + 25) = square root of 194. This equals approx 13.92 km.
The provided official answer (13 km, North-East) does not mathematically match the geometric calculation of square root 194. B: 12 km is incorrect as X is 13. C: 13 km is mathematically incorrect. D: 15 km is mathematically incorrect.
None of the options is mathematically correct because the actual distance is square root of 194 (approx 13.92) km in the North-East direction.
In direction problems, always draw a small plus sign (+) to denote N, S, E, W and keep your X and Y coordinates separated to avoid arithmetic errors.