Question

A child is looking for his father. He went 90 m in east before turning to his right. He went 20 meters before turning to his right again to look fir his father at his uncle's place 30 meters from this point. His father was not present there. From there he went 100 meters to his north before meeting his father in a street. How far did the son meet his father from starting point?

Answer 1

Draw the diagram according to the directions given in the question
AB $=$ 90m; BC $=$ 20 m; CD $=$ 30 m;
DL$=$ 20m; DE $=$ 100m; and EL $=$ 100m. AL $=$60m.
$\therefore \sqrt{{AL}^2+{LE}^2}=\sqrt{{60}^2+{80}^2}=\sqrt{10000}=100m$