Neh traveled 15 km to east of patna and then and 20 km to the west from that point. How far from patna was neha finely and in which direction?
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Answer:
25 km, North-East
Step-by-step explanation:
When Neha travels 15 km to the east and then 20 km to the west from there, she forms two legs of a right-angled triangle. To find the distance from Patna to her current location, we must find the hypotenuse of the right-angled triangle.
a² + b² = c² (Pythagoras's theorem)
15² + 20² = c²
225 + 400 = c²
c² = 625
c = √625 = 25 km
Hence, she will be 25 km far from Patna and in the north-east direction, since the triangle is formed towards the east of her original position and she is at its apex.
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