question_answer

A child went 90 m in the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?

A) 80 m             

B)        100 m

C) 140 m                          

D) 260 m

E) None of these

Correct Answer: B

Solution :

Explanation Option [b] is correct. Required distance = AE = \[\sqrt{A{{G}^{2}}+E{{G}^{2}}}=\sqrt{{{\left( 90-30 \right)}^{2}}+{{\left( 100-20 \right)}^{2}}}=\sqrt{{{\left( 60 \right)}^{2}}+{{\left( 80 \right)}^{2}}}=\sqrt{3600+6400}=\sqrt{10000}=100\,\,m\]