Question

Rohit walks $100$ m to the East from point $A,$ then turns right and walks $100$ m, again turns right and walks $20$ m, again turns right and walks $250$ m, and reached point $B$. Then the distance between $A$ and $B$ is

• A. $75$ m
• B. $180$ m
• C. $170$ m
• D. $200$ m

Answer 1

The correct option is C $170$ m

Rohit walks $100$ m to the East from point $A$ and reaches to point $C,$ then turns right and walks $100$ m to reach point $D,$ again turns right and walks $20$ m to reach point $E,$ again turns right and walks $250$ m to reach his final destination point $B$.


In right triangle $AFB,$
$AB=\sqrt{A{F}^2+F{B}^2}=\sqrt{{80}^2+{150}^2}$
$\Rightarrow AB=170$ m