Akash leaves from his school at 5:30 a.m. He starts walking towards south and covers a distance of 20 km. He turns left and walks 15 km to reach point A. He turns right and walk 14 km. He again turns right and walks 10 km. How far (in km) and in which direction is he now from point A?

Let Akash starts walking from S towards south and covers a distance of 20 km to reach T. He turns left and walks 15 km to reach point A. He turns right and walk 14 km towards south to B. He again turns right and walks 10 km westwards to stop at C.

=> $$(AC)^2=(AB)^2+(BC)^2$$

=> $$(AC)^2=(14)^2+(10)^2$$

=> $$(AC)^2=196+100=296$$

=> $$AC=\sqrt{296}=2\sqrt{74}$$ km

$$\therefore$$ He is $$2\sqrt{74}$$ km south-west from point.

=> Ans - (C)