Question

A pilgrim started from a shrine. After walking straight for $100m$, he moved to his right and then after $500m$, he again moved to his right. After walking a distance of $100m$, he moved to his left and then walked $200m$. He again moved to his right and walked $700m$.
What is the distance of his location from the shrine?

• A. $990m$
• B. $1300m$
• C. $1400m$
• D. $2100m$

Answer 1

The correct option is A $990m$

Suppose a pilgrim starts from point $A$.

As per the given data, suppose he stops at point $C$.

So, at the end he makes a right angle triangle $ABC$, with $\angle B={90}^o$.

Base $BC=700m$ and height $AB=700m$.

Then by Pythagoras theorem,

$A{C}^2=A{B}^2+B{C}^2$

$={700}^2+{700}^2$

$=4900+4900=9800$

$\therefore AC=990m$.