GATE 2015 EE (EE2) – Question 10
Branches M,N,O,P have these positions: M is 4 km north of N; P is 2 km south of O; N is 1 km southeast of O. Find distance MP in km.
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Correct answer: (A) 5.34
Explanation
Set O=(0,0), with east and north positive. Then N=(1/√2,−1/√2), M=(1/√2,4−1/√2), and P=(0,−2).
Their displacement is (1/√2,6−1/√2). Its length is $\sqrt{1/2+(6-1/\sqrt2)^2}\approx5.3399$ km.
Therefore the nearest listed distance is **5.34 km, A**.
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