A) \[\left( \frac{100}{\sqrt{3}} \right)m\]
B) \[(200\sqrt{3})m\]
C) \[\left( \frac{200}{\sqrt{3}} \right)m\]
D) \[\left( \frac{150}{\sqrt{3}} \right)m\]
Correct Answer: C
Solution :
In\[\Delta \,\,ABC\] \[\tan {{60}^{o}}=\frac{100}{x}\] \[\Rightarrow \] \[x=\frac{100}{\sqrt{3}}\] ? (i) In\[\Delta \,\,ABD\] \[\tan {{30}^{o}}=\frac{100}{x+y}\] \[\Rightarrow \] \[x+y=100\sqrt{3}\] \[\Rightarrow \] \[y=100\sqrt{3}-\frac{100}{\sqrt{3}}\] [from Eq. (i)] \[=\frac{200}{\sqrt{3}}m\]You need to login to perform this action.
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