Question

A man walks 5 km towards south and then turns to the right. After walking 3 km, he turns to the left and walks 4 km. and then he goes back 10 km straight. Now in which direction is he from the starting place?

(a) North
(b) South
(c) East
(d) West

Answer 1

The man is 15 km south and 4 km east from the starting place. Therefore, the correct answer is (b) South.

Step-by-step explanation:

The man initially walks 5 km towards the south. Then, he turns right and walks 3 km. After that, he turns left and walks 4 km. Finally, he goes back 10 km in a straight line. To determine the direction he is from the starting place, we need to analyze the net displacement.

The total displacement can be calculated by adding the individual displacements in each direction. The man initially moved 5 km towards the south, so the south component of the displacement is -5 km.

Then, he moved 4 km towards the east, so the east component of the displacement is +4 km. Finally, he went back 10 km in a straight line, so the south component of the displacement becomes -10 km.

By adding the east and south components, the net displacement is 4 km towards the east and 15 km towards the south. Therefore, the man is 15 km south and 4 km east from the starting place.