Richa drives 8 km south, turns left and drives 4 km. She then turns left and drives for 11km. At what distance is he from the departure point, if there is a direct route between the two points? MCQ with Answer and Explanation
Richa drives 8 km south, turns left and drives 4 km. She then turns left and drives for 11km. At what distance is he from the departure point, if there is a direct route between the two points?
A. 5 km
B. 8 km
C. 3 km
D. 7 km
Answer: Option A
Solution (By JKExamLibrary)
Drives 8 km South, turns left (East) 4 km, turns left (North) 11 km. Net vertical = 11 - 8 = 3 km North. Net horizontal = 4 km East. Distance = √(3² + 4²) = 5 km.
I walked 5 meters in East and then took a left turn and again walked 5 metres. From there I walked 3 meters towards North. Then I took two consecutive left turns, and walked 3 meters each time. In which direction am I now from the starting point?
Explanation:
Path: 5m East, 5m North (left turn), 3m North = 8m North total. First left turn from North puts me West 3m. Second left turn puts me South 3m. Total East = 5 - 3 = 2m. Total North = 8 - 3 = 5m. Since I am East and North of the start, the direction is North-East.
Renuka starts walking from her home and first walks 3 km towards west, then she turns towards north and walks 4 km in the same direction, then at what distance is Renuka from her home?
Explanation:
She walks 3 km West and 4 km North. Using the Pythagorean theorem, the distance is √(3² + 4²) = 5 km. The direction from her home is North-West.
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