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 jet plane is 432 km/h \[\therefore \]Distance travelled from B to A, \[d=432\times \frac{5}{18}\times 10\] \[=1200m\] In\[\Delta CBD,\] \[\tan 60{}^\circ =\frac{h}{x}\] \[\Rightarrow \] \[x=\frac{h}{\sqrt{3}}\] and in\[\Delta CAD,\] \[\tan 30{}^\circ =\frac{h}{d+x}\] \[\Rightarrow \] \[\frac{1}{\sqrt{3}}=\frac{h}{1200+\frac{h}{\sqrt{3}}}\] \[\Rightarrow \] \[1200=\sqrt{3}h-\frac{h}{\sqrt{3}}\] \[\Rightarrow \] \[h=600\sqrt{3}m\]You need to login to perform this action.
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