A person travels 7 km eastwards and then turns right and travels 3 km

A person travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the shortest distance of the present position of the person from his starting point?
(a) 6 km
(b) 3 sqrt.5 km
(c) 7 km
(d) 4 sqrt.5 km

Anurag Mishra Professor Asked on 20th February 2016 in Maths.
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1 Answer(s)

Answer: (b) 3 sqrt.5 km

Solution:-
According to the  question look at the below figure

RE: A person travels 7 km eastwards and then turns right and travels 3 km


Then, the shortest distance between starting point to end point = (6^2 + 3^2)^1/2
 = (36 + 9)^1/2
 = (45)^1/2
 = 3 sqrt.5 km

Hence, the correct answer is option (b) 3 sqrt.5 km. 

Anurag Mishra Professor Answered on 20th February 2016.
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