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Sana has organized 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?

#### Options

South-East of the starting point, 5 km

North-East of the starting point, 13 km

North-East of the starting point, 6 km

South-East of the starting point, 13 km

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#### Solution

North-East of the starting point, 13 km

**Explanation:**

From

AB = 30 - 8 - 10 = 12 km

BC = 26 + 19 - 40 = 5 km

Distance from starting point

AC = `sqrt(("AB")^2 + ("BC")^2)`

`= sqrt((12)^2 + (5)^2)` = 13 km

Direction is North-East

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