Study the following information and answer the questions given below:
Eight friends A, B, C, D, E, F, G, H purchased their own houses in a city.
The house of A is in south-west of C. The house of C is exactly in between the houses of D and E vertically.
The house of F is 3m north of G. The distance between the houses of H and G is 10m.
The total distance between the houses of D and E is 8m. 1. The house of B is in west of the house of Cat a distance Kof 5m. House of B is in north of the house of H.
If G starts walking from his house to F's house and from there both of them turns to the left and walk 5m then they reached at E's house.
Now D decided to meet B, and start walking. On the way of his journey he first visits C's house and then takes a right turn. And then reached at B's house he realized that is not at his home, so he turns immediately to left and walks 6m and finally reached A's house.
E's house is how far and in which direction from H'S house?

Options

A. `sqrt(31)m`, South-west
B. `sqrt(51)m` , South-east
C. `sqrt(71)m`, North-west
D. `sqrt(34)m`, North-east

Answer

D

Explanation