Question

A woman starts from her office towards east. After walking a distance of $3$ km, she turned towards right and walked $8$ km. Then she turned left and moved a distance of $2$ km. Finally she turns to her left and walks $20$ km. How far is she from her office?

• A. $19$ km
• B. $13$ km
• C. $10$ km
• D. $33$ km

Answer 1

The correct option is B $13$ km


In right triangle $AEF,$
$AF=\sqrt{A{E}^2+E{F}^2}=\sqrt{(5{)}^2+(12{)}^2}$
$\therefore AF=13$ km
So, woman is $13$ km away from her office.