Question

Maya starts from her house towards west. After walking a distance of $20$ m, she turned towards right and walked $10$ m. Then she turned left and moving a distance of $10$ m, turned to her left again and walked $40$ m. She now turns to the left again and walks $10$ m. Finally she turns to her left and walks $10$ m. How far is she from the starting point?

• A. $20\sqrt{2}$ m
• B. $20$ m
• C. $10\sqrt{2}$ m
• D. $40$ m

Answer 1

The correct option is A $20\sqrt{2}$ m


In right triangle $ABG,$
$AG=\sqrt{A{B}^2+B{G}^2}=\sqrt{{20}^2+{20}^2}$
$\therefore AG=20\sqrt{2}$ m