Question

Sanjay went $70$ metres in the East before turning to his right. He went $10$ metres before turning to his right again and went $10$ metres from this point. From here he went $90$ metres to the North. How far was he from the starting point ?

• A. $80$ metres
• B. $100$ metres
• C. $140$ metres
• D. $260$ metres

Answer 1

The correct option is B $100$ metres

The movement of Sanjay is as shown in the figure.
$AF=AB-FB=AB-DC=70-10=60$ m
$EF=DE-DF=DE-BC=90-10=80$ m
Thus, required distance, $A{E}^2=A{F}^2+E{F}^2$
$A{E}^2={60}^2+{80}^2$
$AE=100$ m