A) \[1100\,\text{m}\]
B) \[1200\,\text{m}\]
C) \[1300\,\text{m}\]
D) \[1400\,\text{m}\]
Correct Answer: C
Solution :
[c] Let a girl starts from point 0 and walks \[500m\]towards east, then \[1200m\]towards north. |
By Pythagoras thorem, |
\[O{{N}^{2}}=O{{E}^{2}}+N{{E}^{2}}\] |
\[={{(500)}^{2}}+{{(1200)}^{2}}\] |
\[=250000+1440000\] |
\[=1690000\] |
or \[ON=\sqrt{1690000}\] |
\[=1300\,m\] |
Hence, the girl is 1300 om far from the starting point. |
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