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 $10$0 m to his North and met his father in the shop. 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

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