Question

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

Answer 1

Answer: (B)

100 m

Required distance= AE
$=\sqrt{A{G}^2+E{G}^2}$
$=\sqrt{(90-30{)}^2+(100-20{)}^2}$
$=\sqrt{(60{)}^2+(80{)}^2}$
$=\sqrt{3600+6400}$
$\sqrt{10000}$
$=100m$