Question

A hikes walks $4$ miles to the east, and then $8$ miles to the south.
The magnitude of the hiker's resultant displacement is closest to which of the following?

• A. $4miles$
• B. $9miles$
• C. $13miles$
• D. $80miles$

Answer 1

The correct option is B $9miles$

East and south direction are perpendicular to each other.

Magnitude of the resultant displacement $|S|=\sqrt{4^2+8^2}=\sqrt{80}\approx 9$ $miles$