A) \[\frac{2000}{\sqrt{3}}m\]
B) \[\frac{1000}{\sqrt{3}}m\]
C) \[\frac{2000}{\sqrt{2}}m\]
D) \[1000\sqrt{3}m\]
Correct Answer: A
Solution :
In \[\Delta AEC,\] \[\tan {{60}^{o}}=\frac{500}{{{d}_{1}}}\] \[\Rightarrow \] \[\sqrt{3}=\frac{500}{{{d}_{1}}}\] \[\Rightarrow \] \[{{d}_{1}}=\frac{500}{\sqrt{3}}m\] and in \[\Delta BEC\], \[\tan {{30}^{o}}=\frac{500}{{{d}^{2}}}\] \[\Rightarrow \] \[{{d}_{2}}=500\sqrt{3}m\] \[\therefore \] Required diameter \[={{d}_{1}}+{{d}_{2}}\] \[=\frac{500}{\sqrt{3}}+500\sqrt{3}=\frac{200}{\sqrt{3}}m\]You need to login to perform this action.
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