Question

Govind starts from his house towards west. After walking a distance of $25$ m, he turned towards right and walked $10$ m. Then he turned left and moving a distance of $10$ m, turned to his left again and walked $40$ m. He now turns to the left again and walks $5$ m. Finally he turns to his left and walks $10$ m. How far is he from the starting point?

• A. $15$ m
• B. $10\sqrt{13}$ m
• C. $50$ m
• D. $40\sqrt{2}$ m

Answer 1

The correct option is B $10\sqrt{13}$ m

In right triangle $AHG,$
$AG=\sqrt{A{H}^2+H{G}^2}=\sqrt{{30}^2+{20}^2}$
$\therefore AG=10\sqrt{13}$ m