question_answer

Sonu travelled from a point A straight to B in East direction, a distance of 12 km. He turned right and travelled 8 km and reached point C. From that point took right turn and travelled 6 km and reached point D. How far is he away from the starting point?

A) 10 km              

B) 12 km

C) 13 km              

D) 14 km

Correct Answer: A

Solution :

Route followed by Sonu

\[AD=\sqrt{{{(AO)}^{2}}+{{(OD)}^{2}}}\]

\[[AO=AB-CD=12-6=6\,km]\]

\[=\sqrt{{{(6)}^{2}}+{{(8)}^{2}}}\]

\[=\sqrt{36+64}\]

\[=\sqrt{100}=10\,\,km\]