Question

Ragnar leaves his office for his home. He walks towards east. After moving a distance of $15$ m, he turns south and walks $20$ m. Then he walks $40$ m towards the west and further $10$ m towards the north. He then turns towards east and walks $30$ m. What is the distance between his initial and final position?

• A. $\sqrt{5}$ m
• B. $5$ m
• C. $25$ m
• D. $5\sqrt{5}$ m

Answer 1

The correct option is D $5\sqrt{5}$ m


Using Pythagoras theorem in right triangle $AFG,$
$AG=\sqrt{A{F}^2+F{G}^2}$
$=\sqrt{{10}^2+5^2}$
$=5\sqrt{2^2+1}$
$=5\sqrt{5}$ m