A) \[\left( \frac{400}{\sqrt{3}} \right)\,m\]
B) \[\left( 200\sqrt{3} \right)m\]
C) \[\left( \frac{200}{\sqrt{3}} \right)\,m\]
D) \[\left( \frac{150}{\sqrt{3}} \right)\,m\]
Correct Answer: C
Solution :
In \[\Delta ABC,\]we have, \[\tan {{60}^{o}}=\frac{100}{x}\] \[\Rightarrow \] \[x=\frac{100}{\sqrt{3}}\] ?..(i) \[\Rightarrow \] \[x+y=100\sqrt{3}\] ?..(ii) Using equation (i) and (ii) become \[y=100\sqrt{3}-\frac{100}{\sqrt{3}}\] \[\Rightarrow \] \[y=\frac{100\times 3-100}{\sqrt{3}}=\frac{200}{\sqrt{3}}\,m\]You need to login to perform this action.
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