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