question_answer

Direction: Study the following information carefully and answer the question given below:

Anshu starts walking towards west from point B to point C. After walking 6 m to reach point C, he turns to his right and walks 6 m to reach point D. From there he turns to his right and walks 9 m to reach point E. After reaching point E he turns towards south and walks 11 m and reaches point F. Then he turns to his right and walks 7 m to reach point G. Finally he turns to his right and walks 4 m to reach point H.

What is the shortest distance between point D and point B?

A)  10 m              

B)  \[8\sqrt{2}m\]

C)       \[6\sqrt{2}m\]

D)      \[7\sqrt{2}m\] 

E)  None of these

Correct Answer: C

Solution :

In \[\Delta \text{DBC}\] \[\text{DB=}\sqrt{{{(CD)}^{2}}+{{(BC)}^{2}}}\] \[=\sqrt{{{6}^{2}}+{{6}^{2}}}=6\sqrt{2}m\]