# A person travels 7 km eastwards and then turns right and travels 3 km

A person travels 7 km eastwards and then turns right and travels 3 km and further turns right and travels 13 km. What is the shortest distance of the present position of the person from his starting point?

(a) 6 km

(b) 3 sqrt.5 km

(c) 7 km

(d) 4 sqrt.5 km

**Answer: (b) 3 sqrt.5 km**

**Solution:-**

According to the question look at the below figure

Then, the shortest distance between starting point to end point = (6^2 + 3^2)^1/2

= (36 + 9)^1/2

= (45)^1/2

= 3 sqrt.5 km

Hence, the correct answer is option (b) 3 sqrt.5 km.