Sita walks 1 km in the east direction, then turns right and walks 1 km, then turns left and walks 2 km and finally turns left and walks 5 km. How far is Sita from her original departure (based on the shortest route)?

Given: Sita walks 1 km in the east direction, then turns right and walks 1 km, then turns left and walks 2 km and finally turns left and walks 5 km.

Pythagoras Theorem:

= ​$$\sqrt {(3)^2 + (4)^2}$$

= $$\sqrt {(9) + (16)}$$

= $$\sqrt {25}$$

= 5km

Thus, correct option is (a).