A) \[1000\sqrt{3}m\]
B) \[\frac{2000}{\sqrt{3}}m\]
C) \[\frac{1000}{\sqrt{3}}m\]
D) \[\frac{2000}{\sqrt{2}}m\]
Correct Answer: B
Solution :
In \[\Delta AEC,\tan {{60}^{o}}=\frac{500}{{{d}_{1}}}\] \[\Rightarrow \] \[{{d}_{1}}=\frac{500}{\sqrt{3}}m\] ?(i) and in \[\Delta BEC,\tan {{30}^{o}}=\frac{500}{{{d}_{2}}}\] \[\Rightarrow \]\[{{d}_{2}}=500\sqrt{3}m\] Required diameter, \[AB={{d}_{1}}+{{d}_{2}}=\frac{500}{\sqrt{3}}+500\sqrt{3}\] \[=\frac{500}{\sqrt{3}}(1+3)=\frac{2000}{\sqrt{3}}\text{m}\]You need to login to perform this action.
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