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