GATE EC 2017 Set 2 — Question 59
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General Aptitude → Analytical Aptitude → Mensuration & Geometry
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Question
Fatima starts from point , goes North for , and then East for to reach point . She then turns to face point and goes in that direction. She then goes North for . How far is she from point , and in which direction should she go to reach point ?
Correct answer
(A) 8 km, East
Solution
Let point be the origin .
1.Fatima goes North : Position is .
2.She goes East to reach : Position .
3.The distance .
4.She turns to face and goes . The direction from to is . Since the distance is , going in that direction means she passes and continues for another .
New position .5.She then goes North for : Final position .
6.The distance from to is .
7.To reach from , she must travel in the positive x-direction, which is East.
Thus, she is away and must go East to reach .Continue learning with Success Tracker
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