question_answer

A man goes \[18\,\text{m}\] due East and then \[24\,\text{m}\] due North. He is away from the starting point by:                    

A) \[30\,\text{m}\]

B) \[20\,\text{m}\]

C) \[24\,\text{m}\]

D) None of these

Correct Answer: A

Solution :

[a] In right \[\Delta ABC,\]

\[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\]

\[={{(18)}^{2}}+{{(24)}^{2}}=324+576=900\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,AC=30\,m\]

So, the man is\[30\,m\]far from the starting point.