Sana has organized a birthday party for Roma. Roma took her car to reach the venue of the party. She…
The correct choice is: “North-East of the starting point, 13 km” Take the start as (0, 0), with East as +x and North as +y. 30 km North → (0, 30). 40 km West → (−40, 30). 8…
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Sana has organized a birthday party for Roma. Roma took her car to reach the venue of the party. She drove 30 km towards North and then 40 km towards West. She then turned to South and covered 8 km. Further, she turned to East and moved 26 km. Finally, she turned right and drove 10 km and then turned left to travel 19 km. How far and in which direction is she from the starting point?
Answer and explanation
Correct answer B
The correct choice is: “North-East of the starting point, 13 km”
Take the start as (0, 0), with East as +x and North as +y.
30 km North → (0, 30). 40 km West → (−40, 30). 8 km South → (−40, 22). 26 km East → (−14, 22). Facing East, a right turn means South: 10 km → (−14, 12). Facing South, a left turn means East: 19 km → (5, 12).
She ends 5 km East and 12 km North of the start, i.e. to the North-East. Distance = √(5² + 12²) = √169 = 13 km.
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