A) \[200\sqrt{3}m\]
B) \[400\sqrt{3}m\]
C) \[600\sqrt{3}m\]
D) \[800\sqrt{3}m\]
Correct Answer: C
Solution :
Since, speed of a flight be\[432\,\,km/h\]. \[\therefore \]Distance cover from \[A\] to\[B\], \[d=432\times \frac{5}{18}\times 10=1200\,\,m\] Now, in\[\Delta CBD\], \[\tan {{60}^{o}}=\frac{h}{x}\Rightarrow x=\frac{h}{\sqrt{3}}\] and in\[\Delta CAD\], \[\tan {{30}^{o}}=\frac{h}{d+x}\] \[\Rightarrow \] \[\frac{1}{\sqrt{3}}=\frac{h}{1200+\frac{h}{\sqrt{3}}}\] \[\Rightarrow \] \[1200=\sqrt{3}h-\frac{h}{\sqrt{3}}\] \[\Rightarrow \] \[h=600\sqrt{3}m\]You need to login to perform this action.
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