Sharada starts South and moves 15 m, then turns left twice and moves 15 m each time. How far is she from the start, and in which direction?

Introduction / Context:We translate each leg into axis moves and then compute the net displacement and bearing relative to the starting point.

Given Data / Assumptions:

• Start facing South; first leg 15 m South.
• Left from South → East, 15 m.
• Left from East → North, 15 m.

Concept / Approach:Use coordinates: East +x, West −x, North +y, South −y. Add vector components and interpret the result.

Step-by-Step Solution:After 15 m South: (0, −15).After 15 m East: (15, −15).After 15 m North: (15, 0).Distance from origin = 15 m; direction = East.

Verification / Alternative check:South and North cancel, leaving only 15 m East.

Why Other Options Are Wrong:Any South/West options contradict the computed positive x displacement; 30 m East overstates the distance.

Common Pitfalls:Applying left/right incorrectly (left from South is East, not West).

Final Answer:15 m. East