question_answer

Akash started walking towards West from his house and went 40 km. Then turned left and walked 30 km. How far is he now from his house?

A) 30 km           

B)   50 km

C) 25 km               

D)   40 km

E) None of these

Correct Answer: B

Solution :

Explanation Option [b] is correct. Distance of final point C from Akash?s house \[\operatorname{A} = AC\].   Using pythagoras theorem, \[\operatorname{AC}=\sqrt{A{{B}^{2}}+B{{C}^{2}}}\] \[=\,\,\,\sqrt{{{40}^{2}}+{{30}^{2}}}\,\,=\,\,\sqrt{2,500}\,\,=\,\,50\,km.\]